312131124020413 has 2 divisors, whose sum is σ = 312131124020414. Its totient is φ = 312131124020412.

The previous prime is 312131124020383. The next prime is 312131124020501. The reversal of 312131124020413 is 314020421131213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 162396206049529 + 149734917970884 = 12743477^2 + 12236622^2 .

It is an emirp because it is prime and its reverse (314020421131213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312131124020413 - 2²¹ = 312131121923261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312131127020413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156065562010206 + 156065562010207.

It is an arithmetic number, because the mean of its divisors is an integer number (156065562010207).

Almost surely, 2^{312131124020413} is an apocalyptic number.

It is an amenable number.

312131124020413 is a deficient number, since it is larger than the sum of its proper divisors (1).

312131124020413 is an equidigital number, since it uses as much as digits as its factorization.

312131124020413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 312131124020413 its reverse (314020421131213), we get a palindrome (626151545151626).

The spelling of 312131124020413 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred twenty-four million, twenty thousand, four hundred thirteen".