100013113213 has 32 divisors (see below), whose sum is σ = 112454802432. Its totient is φ = 88354886400.

The previous prime is 100013113199. The next prime is 100013113279. The reversal of 100013113213 is 312311310001.

It is not a de Polignac number, because 100013113213 - 2⁹ = 100013112701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013114213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6440128 + ... + 6455638.

It is an arithmetic number, because the mean of its divisors is an integer number (3514212576).

Almost surely, 2^100013113213 is an apocalyptic number.

100013113213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100013113213 is a deficient number, since it is larger than the sum of its proper divisors (12441689219).

100013113213 is a wasteful number, since it uses less digits than its factorization.

100013113213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15805.

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

Adding to 100013113213 its reverse (312311310001), we get a palindrome (412324423214).

The spelling of 100013113213 in words is "one hundred billion, thirteen million, one hundred thirteen thousand, two hundred thirteen".