2100312013013 has 16 divisors (see below), whose sum is σ = 2229301704000. Its totient is φ = 1973199699072.

The previous prime is 2100312013003. The next prime is 2100312013039. The reversal of 2100312013013 is 3103102130012.

It is a cyclic number.

It is not a de Polignac number, because 2100312013013 - 2²⁸ = 2100043577557 is a prime.

It is a super-2 number, since 2×2100312013013² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100312012982 and 2100312013000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100312013003) 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, 1862753 + ... + 2769561.

It is an arithmetic number, because the mean of its divisors is an integer number (139331356500).

Almost surely, 2^{2100312013013} is an apocalyptic number.

It is an amenable number.

2100312013013 is a deficient number, since it is larger than the sum of its proper divisors (128989690987).

2100312013013 is a wasteful number, since it uses less digits than its factorization.

2100312013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907844.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2100312013013 its reverse (3103102130012), we get a palindrome (5203414143025).

The spelling of 2100312013013 in words is "two trillion, one hundred billion, three hundred twelve million, thirteen thousand, thirteen".