31312032137 has 2 divisors, whose sum is σ = 31312032138. Its totient is φ = 31312032136.

The previous prime is 31312032107. The next prime is 31312032181. The reversal of 31312032137 is 73123021313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27274192201 + 4037839936 = 165149^2 + 63544^2 .

It is an emirp because it is prime and its reverse (73123021313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31312032137 - 2¹⁶ = 31311966601 is a prime.

It is not a weakly prime, because it can be changed into another prime (31312032107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15656016068 + 15656016069.

It is an arithmetic number, because the mean of its divisors is an integer number (15656016069).

Almost surely, 2^31312032137 is an apocalyptic number.

It is an amenable number.

31312032137 is a deficient number, since it is larger than the sum of its proper divisors (1).

31312032137 is an equidigital number, since it uses as much as digits as its factorization.

31312032137 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 26.

The spelling of 31312032137 in words is "thirty-one billion, three hundred twelve million, thirty-two thousand, one hundred thirty-seven".