312331131953 has 2 divisors, whose sum is σ = 312331131954. Its totient is φ = 312331131952.

The previous prime is 312331131949. The next prime is 312331132013. The reversal of 312331131953 is 359131133213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 286623178384 + 25707953569 = 535372^2 + 160337^2 .

It is a cyclic number.

It is not a de Polignac number, because 312331131953 - 2² = 312331131949 is a prime.

It is not a weakly prime, because it can be changed into another prime (312331131923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156165565976 + 156165565977.

It is an arithmetic number, because the mean of its divisors is an integer number (156165565977).

Almost surely, 2^312331131953 is an apocalyptic number.

It is an amenable number.

312331131953 is a deficient number, since it is larger than the sum of its proper divisors (1).

312331131953 is an equidigital number, since it uses as much as digits as its factorization.

312331131953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21870, while the sum is 35.

The spelling of 312331131953 in words is "three hundred twelve billion, three hundred thirty-one million, one hundred thirty-one thousand, nine hundred fifty-three".