131310013132013 has 4 divisors (see below), whose sum is σ = 131310592712700. Its totient is φ = 131309433551328.

The previous prime is 131310013131991. The next prime is 131310013132049. The reversal of 131310013132013 is 310231310013131.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 128750278725124 + 2559734406889 = 11346818^2 + 1599917^2 .

It is a cyclic number.

It is not a de Polignac number, because 131310013132013 - 2⁸ = 131310013131757 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131310013132013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131310013132063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 289450370 + ... + 289903667.

It is an arithmetic number, because the mean of its divisors is an integer number (32827648178175).

Almost surely, 2^{131310013132013} is an apocalyptic number.

It is an amenable number.

131310013132013 is a deficient number, since it is larger than the sum of its proper divisors (579580687).

131310013132013 is an equidigital number, since it uses as much as digits as its factorization.

131310013132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579580686.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 131310013132013 its reverse (310231310013131), we get a palindrome (441541323145144).

The spelling of 131310013132013 in words is "one hundred thirty-one trillion, three hundred ten billion, thirteen million, one hundred thirty-two thousand, thirteen".