2100331112013 has 24 divisors (see below), whose sum is σ = 3105664261440. Its totient is φ = 1367372318400.

The previous prime is 2100331111993. The next prime is 2100331112107. The reversal of 2100331112013 is 3102111330012.

2100331112013 is a `hidden beast` number, since 210 + 0 + 331 + 1 + 120 + 1 + 3 = 666.

It is not a de Polignac number, because 2100331112013 - 2⁵ = 2100331111981 is a prime.

It is a super-2 number, since 2×2100331112013² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100332112013) 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, 13017256 + ... + 13177617.

It is an arithmetic number, because the mean of its divisors is an integer number (129402677560).

Almost surely, 2^{2100331112013} is an apocalyptic number.

It is an amenable number.

2100331112013 is a deficient number, since it is larger than the sum of its proper divisors (1005333149427).

2100331112013 is a wasteful number, since it uses less digits than its factorization.

2100331112013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26195089 (or 26195086 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2100331112013 its reverse (3102111330012), we get a palindrome (5202442442025).

The spelling of 2100331112013 in words is "two trillion, one hundred billion, three hundred thirty-one million, one hundred twelve thousand, thirteen".