2100002013 has 24 divisors (see below), whose sum is σ = 3062168928. Its totient is φ = 1386751392.

The previous prime is 2100001973. The next prime is 2100002017. The reversal of 2100002013 is 3102000012.

It is a happy number.

It is not a de Polignac number, because 2100002013 - 2⁶ = 2100001949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2100001986 and 2100002004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100002017) 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, 488170 + ... + 492452.

It is an arithmetic number, because the mean of its divisors is an integer number (127590372).

Almost surely, 2^2100002013 is an apocalyptic number.

It is an amenable number.

2100002013 is a deficient number, since it is larger than the sum of its proper divisors (962166915).

2100002013 is a wasteful number, since it uses less digits than its factorization.

2100002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2100002013 is about 45825.7789131838. The cubic root of 2100002013 is about 1280.5795741629.

Adding to 2100002013 its reverse (3102000012), we get a palindrome (5202002025).

The spelling of 2100002013 in words is "two billion, one hundred million, two thousand, thirteen".