312311020331201 has 2 divisors, whose sum is σ = 312311020331202. Its totient is φ = 312311020331200.

The previous prime is 312311020331137. The next prime is 312311020331213. The reversal of 312311020331201 is 102133020113213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209100131487025 + 103210888844176 = 14460295^2 + 10159276^2 .

It is a cyclic number.

It is not a de Polignac number, because 312311020331201 - 2⁶ = 312311020331137 is a prime.

It is not a weakly prime, because it can be changed into another prime (312311020331501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156155510165600 + 156155510165601.

It is an arithmetic number, because the mean of its divisors is an integer number (156155510165601).

Almost surely, 2^{312311020331201} is an apocalyptic number.

It is an amenable number.

312311020331201 is a deficient number, since it is larger than the sum of its proper divisors (1).

312311020331201 is an equidigital number, since it uses as much as digits as its factorization.

312311020331201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 312311020331201 its reverse (102133020113213), we get a palindrome (414444040444414).

The spelling of 312311020331201 in words is "three hundred twelve trillion, three hundred eleven billion, twenty million, three hundred thirty-one thousand, two hundred one".