31213401013117 has 2 divisors, whose sum is σ = 31213401013118. Its totient is φ = 31213401013116.

The previous prime is 31213401013099. The next prime is 31213401013139. The reversal of 31213401013117 is 71131010431213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19940386597156 + 11273014415961 = 4465466^2 + 3357531^2 .

It is a cyclic number.

It is not a de Polignac number, because 31213401013117 - 2²³ = 31213392624509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31213401013147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15606700506558 + 15606700506559.

It is an arithmetic number, because the mean of its divisors is an integer number (15606700506559).

Almost surely, 2^{31213401013117} is an apocalyptic number.

It is an amenable number.

31213401013117 is a deficient number, since it is larger than the sum of its proper divisors (1).

31213401013117 is an equidigital number, since it uses as much as digits as its factorization.

31213401013117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 31213401013117 in words is "thirty-one trillion, two hundred thirteen billion, four hundred one million, thirteen thousand, one hundred seventeen".