10131300112313 has 32 divisors (see below), whose sum is σ = 10640237690880. Its totient is φ = 9628341782400.

The previous prime is 10131300112291. The next prime is 10131300112327. The reversal of 10131300112313 is 31321100313101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10131300112313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10131300112343) 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 in 31 ways as a sum of consecutive naturals, for example, 2768869478 + ... + 2768873136.

It is an arithmetic number, because the mean of its divisors is an integer number (332507427840).

Almost surely, 2^{10131300112313} is an apocalyptic number.

It is an amenable number.

10131300112313 is a deficient number, since it is larger than the sum of its proper divisors (508937578567).

10131300112313 is a wasteful number, since it uses less digits than its factorization.

10131300112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 10131300112313 its reverse (31321100313101), we get a palindrome (41452400425414).

The spelling of 10131300112313 in words is "ten trillion, one hundred thirty-one billion, three hundred million, one hundred twelve thousand, three hundred thirteen".