100012113131 has 16 divisors (see below), whose sum is σ = 116512704000. Its totient is φ = 84077932608.

The previous prime is 100012113101. The next prime is 100012113199. The reversal of 100012113131 is 131311210001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100012113131 - 2¹⁴ = 100012096747 is a prime.

It is a super-2 number, since 2×100012113131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100012113101) 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, 455231 + ... + 638168.

It is an arithmetic number, because the mean of its divisors is an integer number (7282044000).

Almost surely, 2^100012113131 is an apocalyptic number.

100012113131 is a deficient number, since it is larger than the sum of its proper divisors (16500590869).

100012113131 is a wasteful number, since it uses less digits than its factorization.

100012113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093658.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100012113131 its reverse (131311210001), we get a palindrome (231323323132).

The spelling of 100012113131 in words is "one hundred billion, twelve million, one hundred thirteen thousand, one hundred thirty-one".