131058131305613 has 2 divisors, whose sum is σ = 131058131305614. Its totient is φ = 131058131305612.

The previous prime is 131058131305601. The next prime is 131058131305669. The reversal of 131058131305613 is 316503131850131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77888338240969 + 53169793064644 = 8825437^2 + 7291762^2 .

It is an emirp because it is prime and its reverse (316503131850131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131058131305613 - 2²⁸ = 131057862870157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131058131305513) 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, 65529065652806 + 65529065652807.

It is an arithmetic number, because the mean of its divisors is an integer number (65529065652807).

Almost surely, 2^{131058131305613} is an apocalyptic number.

It is an amenable number.

131058131305613 is a deficient number, since it is larger than the sum of its proper divisors (1).

131058131305613 is an equidigital number, since it uses as much as digits as its factorization.

131058131305613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 97200, while the sum is 41.

The spelling of 131058131305613 in words is "one hundred thirty-one trillion, fifty-eight billion, one hundred thirty-one million, three hundred five thousand, six hundred thirteen".