13100213113 has 16 divisors (see below), whose sum is σ = 14505901200. Its totient is φ = 11753579520.

The previous prime is 13100213101. The next prime is 13100213129. The reversal of 13100213113 is 31131200131.

It can be written as a sum of positive squares in 8 ways, for example, as 2690704384 + 10409508729 = 51872^2 + 102027^2 .

It is a cyclic number.

It is not a de Polignac number, because 13100213113 - 2²⁹ = 12563342201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13100213153) 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, 97693 + ... + 189061.

It is an arithmetic number, because the mean of its divisors is an integer number (906618825).

Almost surely, 2^13100213113 is an apocalyptic number.

13100213113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13100213113 is a deficient number, since it is larger than the sum of its proper divisors (1405688087).

13100213113 is a wasteful number, since it uses less digits than its factorization.

13100213113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91692.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13100213113 its reverse (31131200131), we get a palindrome (44231413244).

The spelling of 13100213113 in words is "thirteen billion, one hundred million, two hundred thirteen thousand, one hundred thirteen".