13313213132013 has 48 divisors (see below), whose sum is σ = 19973880875520. Its totient is φ = 8534731978752.

The previous prime is 13313213131969. The next prime is 13313213132017. The reversal of 13313213132013 is 31023131231331.

13313213132013 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 321 + 3 + 1 + 320 + 13 = 666.

It is not a de Polignac number, because 13313213132013 - 2³⁰ = 13312139390189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313213132017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306331981 + ... + 306375437.

It is an arithmetic number, because the mean of its divisors is an integer number (416122518240).

Almost surely, 2^{13313213132013} is an apocalyptic number.

It is an amenable number.

13313213132013 is a deficient number, since it is larger than the sum of its proper divisors (6660667743507).

13313213132013 is a wasteful number, since it uses less digits than its factorization.

13313213132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48218 (or 48215 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13313213132013 its reverse (31023131231331), we get a palindrome (44336344363344).

The spelling of 13313213132013 in words is "thirteen trillion, three hundred thirteen billion, two hundred thirteen million, one hundred thirty-two thousand, thirteen".