312311020331137 has 2 divisors, whose sum is σ = 312311020331138. Its totient is φ = 312311020331136.

The previous prime is 312311020331113. The next prime is 312311020331201. The reversal of 312311020331137 is 731133020113213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 254744870211441 + 57566150119696 = 15960729^2 + 7587236^2 .

It is an emirp because it is prime and its reverse (731133020113213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312311020331137 - 2²⁷ = 312310886113409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312311020331099 and 312311020331108.

It is not a weakly prime, because it can be changed into another prime (312311020331437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156155510165568 + 156155510165569.

It is an arithmetic number, because the mean of its divisors is an integer number (156155510165569).

Almost surely, 2^{312311020331137} is an apocalyptic number.

It is an amenable number.

312311020331137 is a deficient number, since it is larger than the sum of its proper divisors (1).

312311020331137 is an equidigital number, since it uses as much as digits as its factorization.

312311020331137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 31.

The spelling of 312311020331137 in words is "three hundred twelve trillion, three hundred eleven billion, twenty million, three hundred thirty-one thousand, one hundred thirty-seven".