13320320013 has 192 divisors, whose sum is σ = 26889408000. Its totient is φ = 6131220480.

The previous prime is 13320320003. The next prime is 13320320051. The reversal of 13320320013 is 31002302331.

13320320013 is a `hidden beast` number, since 1 + 332 + 0 + 320 + 0 + 13 = 666.

It is not a de Polignac number, because 13320320013 - 2⁴ = 13320319997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320320003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29666413 + ... + 29666861.

It is an arithmetic number, because the mean of its divisors is an integer number (140049000).

Almost surely, 2^13320320013 is an apocalyptic number.

13320320013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13320320013 is an abundant number, since it is smaller than the sum of its proper divisors (13569087987).

13320320013 is a wasteful number, since it uses less digits than its factorization.

13320320013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13320320013 its reverse (31002302331), we get a palindrome (44322622344).

It can be divided in two parts, 13320 and 320013, that added together give a palindrome (333333).

The spelling of 13320320013 in words is "thirteen billion, three hundred twenty million, three hundred twenty thousand, thirteen".