13213100313 has 24 divisors (see below), whose sum is σ = 22036979328. Its totient is φ = 7472500992.

The previous prime is 13213100309. The next prime is 13213100323. The reversal of 13213100313 is 31300131231.

It is a happy number.

13213100313 is a `hidden beast` number, since 1 + 321 + 31 + 0 + 0 + 313 = 666.

It is not a de Polignac number, because 13213100313 - 2² = 13213100309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13213100323) 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, 1074981 + ... + 1087202.

It is an arithmetic number, because the mean of its divisors is an integer number (918207472).

Almost surely, 2^13213100313 is an apocalyptic number.

It is an amenable number.

13213100313 is a deficient number, since it is larger than the sum of its proper divisors (8823879015).

13213100313 is a wasteful number, since it uses less digits than its factorization.

13213100313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162293 (or 2162290 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13213100313 its reverse (31300131231), we get a palindrome (44513231544).

It can be divided in two parts, 13213 and 100313, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 13213100313 in words is "thirteen billion, two hundred thirteen million, one hundred thousand, three hundred thirteen".