# Number 113

## Properties#

- 113 is 16th additive prime because sum of its digits is 5 which is also prime
- 113 is 5th centered square prime for n = 7
- 113 is 24th chen prime
- 113 is part of 11th cousin prime {109,
**113**} - 113 is 10th emirps, its corresponding prime is 311
- 113 is 10th harmonic prime
- 113 is 11th isolated prime
- 113 is 16th left-truncatable prime
- 113 is 11th long prime
- 113 is 9th multiplicative prime because product of its digits is 3 which is also prime
- 113 is 30th prime
- 113 is part of 3rd prime quintuplet 2 {101, 103, 107, 109,
**113**} - 113 is part of 2nd prime sextuplet {97, 101, 103, 107, 109,
**113**} - 113 is part of 12th prime triplet {107, 109,
**113**} - 113 is 7th proth prime
- 113 is 14th pythagorean prime
- 113 is part of 19th sexy prime {107,
**113**} - 113 is part of 11th sexy prime triplet {101, 107,
**113**} - 113 is 21st solinas prime
- 113 is 11th sophie germain prime, its corresponding Safe prime is 227

## External#

## Neighbours#

101_{18} | 102 | 103_{14} | 104 | 105 |

106_{1} | 107_{19} | 108 | 109_{19} | 110 |

111_{1} | 112 | 113_{20} | 114 | 115_{1} |

116 | 117 | 118_{1} | 119_{1} | 120 |

121_{1} | 122_{1} | 123_{1} | 124 | 125 |

## Compare with#

101_{18} | 102 | 103_{14} | 104 | 105 |

106_{1} | 107_{19} | 108 | 109_{19} | 110 |

111_{1} | 112 | 113_{20} | 114 | 115_{1} |

116 | 117 | 118_{1} | 119_{1} | 120 |

121_{1} | 122_{1} | 123_{1} | 124 | 125 |

## Different Representations#

- 113 in roman numerals is CXIII
- 113 in base 2 is 1110001
_{2} - 113 in base 3 is 11012
_{3} - 113 in base 4 is 1301
_{4} - 113 in base 5 is 423
_{5} - 113 in base 6 is 305
_{6} - 113 in base 7 is 221
_{7} - 113 in base 8 is 161
_{8} - 113 in base 9 is 135
_{9} - 113 in base 10 is 113
_{10} - 113 in base 11 is a3
_{11} - 113 in base 12 is 95
_{12} - 113 in base 13 is 89
_{13} - 113 in base 14 is 81
_{14} - 113 in base 15 is 78
_{15} - 113 in base 16 is 71
_{16}

## Belongs Into#

- 113 belongs into first 50 additive primes.
- 113 belongs into first 10 centered square primes.
- 113 belongs into first 50 chen primes.
- 113 belongs into first 50 cousin primes.
- 113 belongs into first 50 emirpss.
- 113 belongs into first 50 harmonic primes.
- 113 belongs into first 50 isolated primes.
- 113 belongs into first 50 left-truncatable primes.
- 113 belongs into first 50 long primes.
- 113 belongs into first 10 multiplicative primes.
- 113 belongs into first 50 primes.
- 113 belongs into first 10 prime quintuplet 2s.
- 113 belongs into first 10 prime sextuplets.
- 113 belongs into first 50 prime triplets.
- 113 belongs into first 10 proth primes.
- 113 belongs into first 50 pythagorean primes.
- 113 belongs into first 50 sexy primes.
- 113 belongs into first 50 sexy prime triplets.
- 113 belongs into first 50 solinas primes.
- 113 belongs into first 50 sophie germain primes.

## You May Also Ask#

- Is 113 additive prime?
- Is 113 bell prime?
- Is 113 carol prime?
- Is 113 centered decagonal prime?
- Is 113 centered heptagonal prime?
- Is 113 centered square prime?
- Is 113 centered triangular prime?
- Is 113 chen prime?
- Is 113 class 1+ prime?
- Is 113 part of cousin prime?
- Is 113 cuban prime 1?
- Is 113 cuban prime 2?
- Is 113 cullen prime?
- Is 113 dihedral prime?
- Is 113 double mersenne prime?
- Is 113 emirps?
- Is 113 euclid prime?
- Is 113 factorial prime?
- Is 113 fermat prime?
- Is 113 fibonacci prime?
- Is 113 genocchi prime?
- Is 113 good prime?
- Is 113 happy prime?
- Is 113 harmonic prime?
- Is 113 isolated prime?
- Is 113 kynea prime?
- Is 113 left-truncatable prime?
- Is 113 leyland prime?
- Is 113 long prime?
- Is 113 lucas prime?
- Is 113 lucky prime?
- Is 113 mersenne prime?
- Is 113 mills prime?
- Is 113 multiplicative prime?
- Is 113 palindromic prime?
- Is 113 pierpont prime?
- Is 113 pierpont prime of the 2nd kind?
- Is 113 prime?
- Is 113 part of prime quadruplet?
- Is 113 part of prime quintuplet 1?
- Is 113 part of prime quintuplet 2?
- Is 113 part of prime sextuplet?
- Is 113 part of prime triplet?
- Is 113 proth prime?
- Is 113 pythagorean prime?
- Is 113 quartan prime?
- Is 113 restricted left-truncatable prime?
- Is 113 restricted right-truncatable prime?
- Is 113 right-truncatable prime?
- Is 113 safe prime?
- Is 113 semiprime?
- Is 113 part of sexy prime?
- Is 113 part of sexy prime quadruplets?
- Is 113 part of sexy prime triplet?
- Is 113 solinas prime?
- Is 113 sophie germain prime?
- Is 113 super prime?
- Is 113 thabit prime?
- Is 113 thabit prime of the 2nd kind?
- Is 113 part of twin prime?
- Is 113 two-sided prime?
- Is 113 ulam prime?
- Is 113 wagstaff prime?
- Is 113 weakly prime?
- Is 113 wedderburn-etherington prime?
- Is 113 wilson prime?
- Is 113 woodall prime?

## Smaller than 113#

- Additive primes up to 113
- Bell primes up to 113
- Carol primes up to 113
- Centered decagonal primes up to 113
- Centered heptagonal primes up to 113
- Centered square primes up to 113
- Centered triangular primes up to 113
- Chen primes up to 113
- Class 1+ primes up to 113
- Cousin primes up to 113
- Cuban primes 1 up to 113
- Cuban primes 2 up to 113
- Cullen primes up to 113
- Dihedral primes up to 113
- Double mersenne primes up to 113
- Emirps up to 113
- Euclid primes up to 113
- Factorial primes up to 113
- Fermat primes up to 113
- Fibonacci primes up to 113
- Genocchi primes up to 113
- Good primes up to 113
- Happy primes up to 113
- Harmonic primes up to 113
- Isolated primes up to 113
- Kynea primes up to 113
- Left-truncatable primes up to 113
- Leyland primes up to 113
- Long primes up to 113
- Lucas primes up to 113
- Lucky primes up to 113
- Mersenne primes up to 113
- Mills primes up to 113
- Multiplicative primes up to 113
- Palindromic primes up to 113
- Pierpont primes up to 113
- Pierpont primes of the 2nd kind up to 113
- Primes up to 113
- Prime quadruplets up to 113
- Prime quintuplet 1s up to 113
- Prime quintuplet 2s up to 113
- Prime sextuplets up to 113
- Prime triplets up to 113
- Proth primes up to 113
- Pythagorean primes up to 113
- Quartan primes up to 113
- Restricted left-truncatable primes up to 113
- Restricted right-truncatable primes up to 113
- Right-truncatable primes up to 113
- Safe primes up to 113
- Semiprimes up to 113
- Sexy primes up to 113
- Sexy prime quadrupletss up to 113
- Sexy prime triplets up to 113
- Solinas primes up to 113
- Sophie germain primes up to 113
- Super primes up to 113
- Thabit primes up to 113
- Thabit primes of the 2nd kind up to 113
- Twin primes up to 113
- Two-sided primes up to 113
- Ulam primes up to 113
- Wagstaff primes up to 113
- Weakly primes up to 113
- Wedderburn-etherington primes up to 113
- Wilson primes up to 113
- Woodall primes up to 113

## First 113#

- First 113 additive primes
- First 113 bell primes
- First 113 carol primes
- First 113 centered decagonal primes
- First 113 centered heptagonal primes
- First 113 centered square primes
- First 113 centered triangular primes
- First 113 chen primes
- First 113 class 1+ primes
- First 113 cousin primes
- First 113 Cuban primes 1
- First 113 Cuban primes 2
- First 113 cullen primes
- First 113 dihedral primes
- First 113 double mersenne primes
- First 113 Emirps
- First 113 euclid primes
- First 113 factorial primes
- First 113 fermat primes
- First 113 fibonacci primes
- First 113 genocchi primes
- First 113 good primes
- First 113 happy primes
- First 113 harmonic primes
- First 113 isolated primes
- First 113 kynea primes
- First 113 left-truncatable primes
- First 113 leyland primes
- First 113 long primes
- First 113 lucas primes
- First 113 lucky primes
- First 113 mersenne primes
- First 113 mills primes
- First 113 multiplicative primes
- First 113 palindromic primes
- First 113 pierpont primes
- First 113 Pierpont primes of the 2nd kind
- First 113 primes
- First 113 prime quadruplets
- First 113 prime quintuplet 1s
- First 113 prime quintuplet 2s
- First 113 prime sextuplets
- First 113 prime triplets
- First 113 proth primes
- First 113 pythagorean primes
- First 113 quartan primes
- First 113 restricted left-truncatable primes
- First 113 restricted right-truncatable primes
- First 113 right-truncatable primes
- First 113 safe primes
- First 113 semiprimes
- First 113 sexy primes
- First 113 sexy prime quadrupletss
- First 113 sexy prime triplets
- First 113 solinas primes
- First 113 sophie germain primes
- First 113 super primes
- First 113 thabit primes
- First 113 Thabit primes of the 2nd kind
- First 113 twin primes
- First 113 two-sided primes
- First 113 ulam primes
- First 113 wagstaff primes
- First 113 weakly primes
- First 113 wedderburn-etherington primes
- First 113 wilson primes
- First 113 woodall primes