312031120121113 has 2 divisors, whose sum is σ = 312031120121114. Its totient is φ = 312031120121112.

The previous prime is 312031120121057. The next prime is 312031120121221. The reversal of 312031120121113 is 311121021130213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188575843573264 + 123455276547849 = 13732292^2 + 11111043^2 .

It is a cyclic number.

It is not a de Polignac number, because 312031120121113 - 2²⁵ = 312031086566681 is a prime.

It is not a weakly prime, because it can be changed into another prime (312031120161113) 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, 156015560060556 + 156015560060557.

It is an arithmetic number, because the mean of its divisors is an integer number (156015560060557).

Almost surely, 2^{312031120121113} is an apocalyptic number.

It is an amenable number.

312031120121113 is a deficient number, since it is larger than the sum of its proper divisors (1).

312031120121113 is an equidigital number, since it uses as much as digits as its factorization.

312031120121113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 312031120121113 its reverse (311121021130213), we get a palindrome (623152141251326).

The spelling of 312031120121113 in words is "three hundred twelve trillion, thirty-one billion, one hundred twenty million, one hundred twenty-one thousand, one hundred thirteen".