312331101032831 has 2 divisors, whose sum is σ = 312331101032832. Its totient is φ = 312331101032830.

The previous prime is 312331101032777. The next prime is 312331101032833. The reversal of 312331101032831 is 138230101133213.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312331101032831 is a prime.

It is a super-2 number, since 2×312331101032831² (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 312331101032833, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312331101032833) 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, 156165550516415 + 156165550516416.

It is an arithmetic number, because the mean of its divisors is an integer number (156165550516416).

Almost surely, 2^{312331101032831} is an apocalyptic number.

312331101032831 is a deficient number, since it is larger than the sum of its proper divisors (1).

312331101032831 is an equidigital number, since it uses as much as digits as its factorization.

312331101032831 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 312331101032831 in words is "three hundred twelve trillion, three hundred thirty-one billion, one hundred one million, thirty-two thousand, eight hundred thirty-one".