13213415313 has 18 divisors (see below), whose sum is σ = 22202133954. Its totient is φ = 7550522784.

The previous prime is 13213415287. The next prime is 13213415329. The reversal of 13213415313 is 31351431231.

13213415313 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 341 + 5 + 313 = 666.

13213415313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11524451904 + 1688963409 = 107352^2 + 41097^2 .

It is not a de Polignac number, because 13213415313 - 2¹⁶ = 13213349777 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13213415353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14980756 + ... + 14981637.

Almost surely, 2^13213415313 is an apocalyptic number.

It is an amenable number.

13213415313 is a deficient number, since it is larger than the sum of its proper divisors (8988718641).

13213415313 is a wasteful number, since it uses less digits than its factorization.

13213415313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29962413 (or 29962403 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

Adding to 13213415313 its reverse (31351431231), we get a palindrome (44564846544).

The spelling of 13213415313 in words is "thirteen billion, two hundred thirteen million, four hundred fifteen thousand, three hundred thirteen".