2100000002113 has 8 divisors (see below), whose sum is σ = 2394570138408. Its totient is φ = 1824434390784.

The previous prime is 2100000002063. The next prime is 2100000002117. The reversal of 2100000002113 is 3112000000012.

It can be written as a sum of positive squares in 4 ways, for example, as 777389599809 + 1322610402304 = 881697^2 + 1150048^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2100000002113 - 2²⁹ = 2099463131201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2100000002113.

It is not an unprimeable number, because it can be changed into a prime (2100000002117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4751131006 + ... + 4751131447.

It is an arithmetic number, because the mean of its divisors is an integer number (299321267301).

Almost surely, 2^{2100000002113} is an apocalyptic number.

It is an amenable number.

2100000002113 is a deficient number, since it is larger than the sum of its proper divisors (294570136295).

2100000002113 is a wasteful number, since it uses less digits than its factorization.

2100000002113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9502262483.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 2100000002113 its reverse (3112000000012), we get a palindrome (5212000002125).

The spelling of 2100000002113 in words is "two trillion, one hundred billion, two thousand, one hundred thirteen".