312131100001297 has 2 divisors, whose sum is σ = 312131100001298. Its totient is φ = 312131100001296.

The previous prime is 312131100001291. The next prime is 312131100001313. The reversal of 312131100001297 is 792100001131213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 308055994722576 + 4075105278721 = 17551524^2 + 2018689^2 .

It is a cyclic number.

It is not a de Polignac number, because 312131100001297 - 2¹¹ = 312131099999249 is a prime.

It is not a weakly prime, because it can be changed into another prime (312131100001291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156065550000648 + 156065550000649.

It is an arithmetic number, because the mean of its divisors is an integer number (156065550000649).

Almost surely, 2^{312131100001297} is an apocalyptic number.

It is an amenable number.

312131100001297 is a deficient number, since it is larger than the sum of its proper divisors (1).

312131100001297 is an equidigital number, since it uses as much as digits as its factorization.

312131100001297 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 31.

The spelling of 312131100001297 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred million, one thousand, two hundred ninety-seven".