13210013122313 has 16 divisors (see below), whose sum is σ = 15407482800000. Its totient is φ = 11321236923696.

The previous prime is 13210013122307. The next prime is 13210013122333. The reversal of 13210013122313 is 31322131001231.

It is not a de Polignac number, because 13210013122313 - 2¹² = 13210013118217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13210013122333) 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, 387623 + ... + 5154636.

It is an arithmetic number, because the mean of its divisors is an integer number (962967675000).

Almost surely, 2^{13210013122313} is an apocalyptic number.

It is an amenable number.

13210013122313 is a deficient number, since it is larger than the sum of its proper divisors (2197469677687).

13210013122313 is an frugal number, since it uses more digits than its factorization.

13210013122313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5549229 (or 5549215 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13210013122313 its reverse (31322131001231), we get a palindrome (44532144123544).

The spelling of 13210013122313 in words is "thirteen trillion, two hundred ten billion, thirteen million, one hundred twenty-two thousand, three hundred thirteen".