31312123011137 has 2 divisors, whose sum is σ = 31312123011138. Its totient is φ = 31312123011136.

The previous prime is 31312123011107. The next prime is 31312123011217. The reversal of 31312123011137 is 73111032121313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27198300609601 + 4113822401536 = 5215199^2 + 2028256^2 .

It is a cyclic number.

It is not a de Polignac number, because 31312123011137 - 2³⁶ = 31243403534401 is a prime.

It is not a weakly prime, because it can be changed into another prime (31312123011107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15656061505568 + 15656061505569.

It is an arithmetic number, because the mean of its divisors is an integer number (15656061505569).

Almost surely, 2^{31312123011137} is an apocalyptic number.

It is an amenable number.

31312123011137 is a deficient number, since it is larger than the sum of its proper divisors (1).

31312123011137 is an equidigital number, since it uses as much as digits as its factorization.

31312123011137 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 31312123011137 in words is "thirty-one trillion, three hundred twelve billion, one hundred twenty-three million, eleven thousand, one hundred thirty-seven".