131321011012013 has 16 divisors (see below), whose sum is σ = 138267287640000. Its totient is φ = 124378202823552.

The previous prime is 131321011012001. The next prime is 131321011012027. The reversal of 131321011012013 is 310210110123131.

It is a cyclic number.

It is not a de Polignac number, because 131321011012013 - 2³⁰ = 131319937270189 is a prime.

It is a super-2 number, since 2×131321011012013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131321011012813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1410536081 + ... + 1410629177.

It is an arithmetic number, because the mean of its divisors is an integer number (8641705477500).

Almost surely, 2^{131321011012013} is an apocalyptic number.

It is an amenable number.

131321011012013 is a deficient number, since it is larger than the sum of its proper divisors (6946276627987).

131321011012013 is a wasteful number, since it uses less digits than its factorization.

131321011012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110924.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 131321011012013 its reverse (310210110123131), we get a palindrome (441531121135144).

The spelling of 131321011012013 in words is "one hundred thirty-one trillion, three hundred twenty-one billion, eleven million, twelve thousand, thirteen".