13305507313 has 16 divisors (see below), whose sum is σ = 15750288000. Its totient is φ = 10997707392.

The previous prime is 13305507289. The next prime is 13305507361. The reversal of 13305507313 is 31370550331.

It is not a de Polignac number, because 13305507313 - 2¹³ = 13305499121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13305507373) 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, 123718 + ... + 204736.

It is an arithmetic number, because the mean of its divisors is an integer number (984393000).

Almost surely, 2^13305507313 is an apocalyptic number.

It is an amenable number.

13305507313 is a deficient number, since it is larger than the sum of its proper divisors (2444780687).

13305507313 is an equidigital number, since it uses as much as digits as its factorization.

13305507313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81864.

The product of its (nonzero) digits is 14175, while the sum is 31.

The spelling of 13305507313 in words is "thirteen billion, three hundred five million, five hundred seven thousand, three hundred thirteen".