31311010320137 has 2 divisors, whose sum is σ = 31311010320138. Its totient is φ = 31311010320136.

The previous prime is 31311010320097. The next prime is 31311010320203. The reversal of 31311010320137 is 73102301011313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28840970603641 + 2470039716496 = 5370379^2 + 1571636^2 .

It is a cyclic number.

It is not a de Polignac number, because 31311010320137 - 2²⁴ = 31310993542921 is a prime.

It is not a weakly prime, because it can be changed into another prime (31311010310137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15655505160068 + 15655505160069.

It is an arithmetic number, because the mean of its divisors is an integer number (15655505160069).

Almost surely, 2^{31311010320137} is an apocalyptic number.

It is an amenable number.

31311010320137 is a deficient number, since it is larger than the sum of its proper divisors (1).

31311010320137 is an equidigital number, since it uses as much as digits as its factorization.

31311010320137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 26.

The spelling of 31311010320137 in words is "thirty-one trillion, three hundred eleven billion, ten million, three hundred twenty thousand, one hundred thirty-seven".