13121330213313 has 24 divisors (see below), whose sum is σ = 21660723302400. Its totient is φ = 7497863276544.

The previous prime is 13121330213279. The next prime is 13121330213363. The reversal of 13121330213313 is 31331203312131.

13121330213313 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 330 + 2 + 13 + 313 = 666.

It is not a de Polignac number, because 13121330213313 - 2²⁵ = 13121296658881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13121330213363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14810433 + ... + 15671361.

It is an arithmetic number, because the mean of its divisors is an integer number (902530137600).

Almost surely, 2^{13121330213313} is an apocalyptic number.

It is an amenable number.

13121330213313 is a deficient number, since it is larger than the sum of its proper divisors (8539393089087).

13121330213313 is a wasteful number, since it uses less digits than its factorization.

13121330213313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102861 (or 1102858 counting only the distinct ones).

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

Adding to 13121330213313 its reverse (31331203312131), we get a palindrome (44452533525444).

The spelling of 13121330213313 in words is "thirteen trillion, one hundred twenty-one billion, three hundred thirty million, two hundred thirteen thousand, three hundred thirteen".