100113333013 has 24 divisors (see below), whose sum is σ = 110084551200. Its totient is φ = 90918498048.

The previous prime is 100113332959. The next prime is 100113333037. The reversal of 100113333013 is 310333311001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-100113333013 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 (100113333113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19600606 + ... + 19605712.

It is an arithmetic number, because the mean of its divisors is an integer number (4586856300).

Almost surely, 2^100113333013 is an apocalyptic number.

It is an amenable number.

100113333013 is a deficient number, since it is larger than the sum of its proper divisors (9971218187).

100113333013 is a wasteful number, since it uses less digits than its factorization.

100113333013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7509 (or 7492 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 100113333013 its reverse (310333311001), we get a palindrome (410446644014).

The spelling of 100113333013 in words is "one hundred billion, one hundred thirteen million, three hundred thirty-three thousand, thirteen".