312131414233297 has 2 divisors, whose sum is σ = 312131414233298. Its totient is φ = 312131414233296.

The previous prime is 312131414233291. The next prime is 312131414233333. The reversal of 312131414233297 is 792332414131213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 304572164384016 + 7559249849281 = 17451996^2 + 2749409^2 .

It is an emirp because it is prime and its reverse (792332414131213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312131414233297 - 2⁴⁷ = 171393925877969 is a prime.

It is not a weakly prime, because it can be changed into another prime (312131414233291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156065707116648 + 156065707116649.

It is an arithmetic number, because the mean of its divisors is an integer number (156065707116649).

Almost surely, 2^{312131414233297} is an apocalyptic number.

It is an amenable number.

312131414233297 is a deficient number, since it is larger than the sum of its proper divisors (1).

312131414233297 is an equidigital number, since it uses as much as digits as its factorization.

312131414233297 is an evil number, because the sum of its binary digits is even.

The product of its digits is 653184, while the sum is 46.

The spelling of 312131414233297 in words is "three hundred twelve trillion, one hundred thirty-one billion, four hundred fourteen million, two hundred thirty-three thousand, two hundred ninety-seven".