13310361607313 has 12 divisors (see below), whose sum is σ = 14732718728868. Its totient is φ = 11982729623040.

The previous prime is 13310361607297. The next prime is 13310361607321. The reversal of 13310361607313 is 31370616301331.

It can be written as a sum of positive squares in 2 ways, for example, as 5591366264449 + 7718995342864 = 2364607^2 + 2778308^2 .

It is not a de Polignac number, because 13310361607313 - 2⁴ = 13310361607297 is a prime.

It is a super-2 number, since 2×13310361607313² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13310361607013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 740031128 + ... + 740049113.

It is an arithmetic number, because the mean of its divisors is an integer number (1227726560739).

Almost surely, 2^{13310361607313} is an apocalyptic number.

It is an amenable number.

13310361607313 is a deficient number, since it is larger than the sum of its proper divisors (1422357121555).

13310361607313 is a wasteful number, since it uses less digits than its factorization.

13310361607313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480080304 (or 1480080281 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 38.

Adding to 13310361607313 its reverse (31370616301331), we get a palindrome (44680977908644).

The spelling of 13310361607313 in words is "thirteen trillion, three hundred ten billion, three hundred sixty-one million, six hundred seven thousand, three hundred thirteen".