113330330000013 has 96 divisors (see below), whose sum is σ = 183751421736960. Its totient is φ = 60851781256320.

The previous prime is 113330329999951. The next prime is 113330330000023. The reversal of 113330330000013 is 310000033033311.

113330330000013 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 113330330000013 - 2²⁵ = 113330296445581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113330330000023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 583541358 + ... + 583735536.

It is an arithmetic number, because the mean of its divisors is an integer number (1914077309760).

Almost surely, 2^{113330330000013} is an apocalyptic number.

It is an amenable number.

113330330000013 is a deficient number, since it is larger than the sum of its proper divisors (70421091736947).

113330330000013 is a wasteful number, since it uses less digits than its factorization.

113330330000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194855 (or 194836 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 113330330000013 its reverse (310000033033311), we get a palindrome (423330363033324).

The spelling of 113330330000013 in words is "one hundred thirteen trillion, three hundred thirty billion, three hundred thirty million, thirteen", and thus it is an aban number.