13002311313 has 12 divisors (see below), whose sum is σ = 18784957620. Its totient is φ = 8666434656.

The previous prime is 13002311293. The next prime is 13002311317. The reversal of 13002311313 is 31311320031.

It is a happy number.

13002311313 is a `hidden beast` number, since 1 + 300 + 231 + 131 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9500985729 + 3501325584 = 97473^2 + 59172^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13002311313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13002311317) 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, 100498 + ... + 190011.

It is an arithmetic number, because the mean of its divisors is an integer number (1565413135).

Almost surely, 2^13002311313 is an apocalyptic number.

It is an amenable number.

13002311313 is a deficient number, since it is larger than the sum of its proper divisors (5782646307).

13002311313 is a wasteful number, since it uses less digits than its factorization.

13002311313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295488 (or 295485 counting only the distinct ones).

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

Adding to 13002311313 its reverse (31311320031), we get a palindrome (44313631344).

The spelling of 13002311313 in words is "thirteen billion, two million, three hundred eleven thousand, three hundred thirteen".