2100033013 has 16 divisors (see below), whose sum is σ = 2326489200. Its totient is φ = 1883022336.

The previous prime is 2100032971. The next prime is 2100033029. The reversal of 2100033013 is 3103300012.

It can be written as a sum of positive squares in 8 ways, for example, as 854860644 + 1245172369 = 29238^2 + 35287^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2100033013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100032984 and 2100033002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100033043) 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, 322413 + ... + 328861.

It is an arithmetic number, because the mean of its divisors is an integer number (145405575).

Almost surely, 2^2100033013 is an apocalyptic number.

It is an amenable number.

2100033013 is a deficient number, since it is larger than the sum of its proper divisors (226456187).

2100033013 is a wasteful number, since it uses less digits than its factorization.

2100033013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7176.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2100033013 is about 45826.1171495033. The cubic root of 2100033013 is about 1280.5858753904.

Adding to 2100033013 its reverse (3103300012), we get a palindrome (5203333025).

The spelling of 2100033013 in words is "two billion, one hundred million, thirty-three thousand, thirteen".