312331211201 has 2 divisors, whose sum is σ = 312331211202. Its totient is φ = 312331211200.

The previous prime is 312331211149. The next prime is 312331211207. The reversal of 312331211201 is 102112133213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164722339600 + 147608871601 = 405860^2 + 384199^2 .

It is a cyclic number.

It is not a de Polignac number, because 312331211201 - 2³⁰ = 311257469377 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (312331211207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156165605600 + 156165605601.

It is an arithmetic number, because the mean of its divisors is an integer number (156165605601).

Almost surely, 2^312331211201 is an apocalyptic number.

It is an amenable number.

312331211201 is a deficient number, since it is larger than the sum of its proper divisors (1).

312331211201 is an equidigital number, since it uses as much as digits as its factorization.

312331211201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 312331211201 its reverse (102112133213), we get a palindrome (414443344414).

The spelling of 312331211201 in words is "three hundred twelve billion, three hundred thirty-one million, two hundred eleven thousand, two hundred one".