131058131305601 has 2 divisors, whose sum is σ = 131058131305602. Its totient is φ = 131058131305600.

The previous prime is 131058131305561. The next prime is 131058131305613. The reversal of 131058131305601 is 106503131850131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129149246428225 + 1908884877376 = 11364385^2 + 1381624^2 .

It is a cyclic number.

It is not a de Polignac number, because 131058131305601 - 2²⁶ = 131058064196737 is a prime.

It is not a weakly prime, because it can be changed into another prime (131058131305501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65529065652800 + 65529065652801.

It is an arithmetic number, because the mean of its divisors is an integer number (65529065652801).

Almost surely, 2^{131058131305601} is an apocalyptic number.

It is an amenable number.

131058131305601 is a deficient number, since it is larger than the sum of its proper divisors (1).

131058131305601 is an equidigital number, since it uses as much as digits as its factorization.

131058131305601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 38.

The spelling of 131058131305601 in words is "one hundred thirty-one trillion, fifty-eight billion, one hundred thirty-one million, three hundred five thousand, six hundred one".