10131320104113 has 16 divisors (see below), whose sum is σ = 14902354526976. Its totient is φ = 6082593682560.

The previous prime is 10131320104079. The next prime is 10131320104117. The reversal of 10131320104113 is 31140102313101.

10131320104113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10131320104113 - 2⁸ = 10131320103857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10131320104113.

It is not an unprimeable number, because it can be changed into a prime (10131320104117) 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, 3168015945 + ... + 3168019142.

It is an arithmetic number, because the mean of its divisors is an integer number (931397157936).

Almost surely, 2^{10131320104113} is an apocalyptic number.

10131320104113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10131320104113 is a deficient number, since it is larger than the sum of its proper divisors (4771034422863).

10131320104113 is a wasteful number, since it uses less digits than its factorization.

10131320104113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6336035144.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10131320104113 its reverse (31140102313101), we get a palindrome (41271422417214).

The spelling of 10131320104113 in words is "ten trillion, one hundred thirty-one billion, three hundred twenty million, one hundred four thousand, one hundred thirteen".