312131210031 has 12 divisors (see below), whose sum is σ = 451718256808. Its totient is φ = 207689597424.

The previous prime is 312131210011. The next prime is 312131210033. The reversal of 312131210031 is 130012131213.

312131210031 is a `hidden beast` number, since 312 + 1 + 312 + 10 + 0 + 31 = 666.

It is not a de Polignac number, because 312131210031 - 2⁶ = 312131209967 is a prime.

It is a super-2 number, since 2×312131210031² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312131209986 and 312131210013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131210033) 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 in 11 ways as a sum of consecutive naturals, for example, 33151360 + ... + 33160773.

Almost surely, 2^312131210031 is an apocalyptic number.

312131210031 is a deficient number, since it is larger than the sum of its proper divisors (139587046777).

312131210031 is a wasteful number, since it uses less digits than its factorization.

312131210031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66312662 (or 66312659 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 312131210031 its reverse (130012131213), we get a palindrome (442143341244).

The spelling of 312131210031 in words is "three hundred twelve billion, one hundred thirty-one million, two hundred ten thousand, thirty-one".