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131 is a prime number from 101-200. 131 has 2 factors, 1 and 131. It is the 32nd prime number, and the seventh prime number from 101-200.

Proofs

  • Yes — 131 can be divided by 1.
  • No — 131 cannot be divided by 2-130.
  • Yes — 131 can be divided by 131.

As an Exponent of Mersenne Number

2131 - 1 is divisible by 263, and is therefore not a prime number.

Relationship with other odd numbers

The numbers before

  • The previous prime number is 127.
    • 129 and 133 are four numbers apart; therefore, they are cousin primes.
  • The previous prime number before 127 is 113. It is a huge gap, the largest between 101-200.

The numbers after

  • The next prime number is 137.
    • In particular, 133 is divisible by 7, therefore not a prime number.
    • 131 and 137 are six numbers apart; therefore, they are sexy primes.
  • 139 is the next prime number after 137.