10013112010131 has 16 divisors (see below), whose sum is σ = 13577787721344. Its totient is φ = 6562517880384.

The previous prime is 10013112010079. The next prime is 10013112010157. The reversal of 10013112010131 is 13101021131001.

It is not a de Polignac number, because 10013112010131 - 2⁹ = 10013112009619 is a prime.

It is a super-2 number, since 2×10013112010131² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10013112010131.

It is not an unprimeable number, because it can be changed into a prime (10013112011131) 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 15 ways as a sum of consecutive naturals, for example, 74398521 + ... + 74532986.

It is an arithmetic number, because the mean of its divisors is an integer number (848611732584).

Almost surely, 2^{10013112010131} is an apocalyptic number.

10013112010131 is a deficient number, since it is larger than the sum of its proper divisors (3564675711213).

10013112010131 is a wasteful number, since it uses less digits than its factorization.

10013112010131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148931890.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 10013112010131 its reverse (13101021131001), we get a palindrome (23114133141132).

The spelling of 10013112010131 in words is "ten trillion, thirteen billion, one hundred twelve million, ten thousand, one hundred thirty-one".