131312110302137 has 2 divisors, whose sum is σ = 131312110302138. Its totient is φ = 131312110302136.

The previous prime is 131312110302049. The next prime is 131312110302253. The reversal of 131312110302137 is 731203011213131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70194050919721 + 61118059382416 = 8378189^2 + 7817804^2 .

It is a cyclic number.

It is not a de Polignac number, because 131312110302137 - 2²⁰ = 131312109253561 is a prime.

It is not a weakly prime, because it can be changed into another prime (131312110302437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65656055151068 + 65656055151069.

It is an arithmetic number, because the mean of its divisors is an integer number (65656055151069).

Almost surely, 2^{131312110302137} is an apocalyptic number.

It is an amenable number.

131312110302137 is a deficient number, since it is larger than the sum of its proper divisors (1).

131312110302137 is an equidigital number, since it uses as much as digits as its factorization.

131312110302137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 29.

Adding to 131312110302137 its reverse (731203011213131), we get a palindrome (862515121515268).

The spelling of 131312110302137 in words is "one hundred thirty-one trillion, three hundred twelve billion, one hundred ten million, three hundred two thousand, one hundred thirty-seven".