13335534356313 has 64 divisors (see below), whose sum is σ = 19837237747712. Its totient is φ = 7913214051840.

The previous prime is 13335534356303. The next prime is 13335534356387. The reversal of 13335534356313 is 31365343553331.

It is a happy number.

13335534356313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13335534356313 - 2⁵ = 13335534356281 is a prime.

It is a super-3 number, since 3×13335534356313³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13335534356303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1897752906 + ... + 1897759932.

It is an arithmetic number, because the mean of its divisors is an integer number (309956839808).

Almost surely, 2^{13335534356313} is an apocalyptic number.

13335534356313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13335534356313 is a deficient number, since it is larger than the sum of its proper divisors (6501703391399).

13335534356313 is a wasteful number, since it uses less digits than its factorization.

13335534356313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12494.

The product of its digits is 6561000, while the sum is 48.

The spelling of 13335534356313 in words is "thirteen trillion, three hundred thirty-five billion, five hundred thirty-four million, three hundred fifty-six thousand, three hundred thirteen".