312131990693953 has 2 divisors, whose sum is σ = 312131990693954. Its totient is φ = 312131990693952.

The previous prime is 312131990693951. The next prime is 312131990693983. The reversal of 312131990693953 is 359396099131213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 307807620535809 + 4324370158144 = 17544447^2 + 2079512^2 .

It is a cyclic number.

It is not a de Polignac number, because 312131990693953 - 2¹ = 312131990693951 is a prime.

It is a super-2 number, since 2×312131990693953² (a number of 30 digits) contains 22 as substring.

Together with 312131990693951, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (312131990693951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156065995346976 + 156065995346977.

It is an arithmetic number, because the mean of its divisors is an integer number (156065995346977).

Almost surely, 2^{312131990693953} is an apocalyptic number.

It is an amenable number.

312131990693953 is a deficient number, since it is larger than the sum of its proper divisors (1).

312131990693953 is an equidigital number, since it uses as much as digits as its factorization.

312131990693953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31886460, while the sum is 64.

The spelling of 312131990693953 in words is "three hundred twelve trillion, one hundred thirty-one billion, nine hundred ninety million, six hundred ninety-three thousand, nine hundred fifty-three".