131013213121013 has 32 divisors (see below), whose sum is σ = 146645587968000. Its totient is φ = 116533242907200.

The previous prime is 131013213120953. The next prime is 131013213121033. The reversal of 131013213121013 is 310121312310131.

It is a cyclic number.

It is not a de Polignac number, because 131013213121013 - 2¹² = 131013213116917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131013213121013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131013213121033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13584893 + ... + 21132338.

It is an arithmetic number, because the mean of its divisors is an integer number (4582674624000).

Almost surely, 2^{131013213121013} is an apocalyptic number.

It is an amenable number.

131013213121013 is a deficient number, since it is larger than the sum of its proper divisors (15632374846987).

131013213121013 is a wasteful number, since it uses less digits than its factorization.

131013213121013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34717473.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 131013213121013 its reverse (310121312310131), we get a palindrome (441134525431144).

The spelling of 131013213121013 in words is "one hundred thirty-one trillion, thirteen billion, two hundred thirteen million, one hundred twenty-one thousand, thirteen".