100013112331 has 16 divisors (see below), whose sum is σ = 110511692928. Its totient is φ = 89750771200.

The previous prime is 100013112317. The next prime is 100013112343. The reversal of 100013112331 is 133211310001.

It is a cyclic number.

It is not a de Polignac number, because 100013112331 - 2⁹ = 100013111819 is a prime.

It is a super-2 number, since 2×100013112331² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100013112431) 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, 1066116 + ... + 1156126.

It is an arithmetic number, because the mean of its divisors is an integer number (6906980808).

Almost surely, 2^100013112331 is an apocalyptic number.

100013112331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100013112331 is a deficient number, since it is larger than the sum of its proper divisors (10498580597).

100013112331 is a wasteful number, since it uses less digits than its factorization.

100013112331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91322.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100013112331 its reverse (133211310001), we get a palindrome (233224422332).

The spelling of 100013112331 in words is "one hundred billion, thirteen million, one hundred twelve thousand, three hundred thirty-one".