13302000320013 has 20 divisors (see below), whose sum is σ = 19948208033820. Its totient is φ = 8833494362112.

The previous prime is 13302000319991. The next prime is 13302000320083. The reversal of 13302000320013 is 31002300020331.

13302000320013 is a `hidden beast` number, since 1 + 330 + 2 + 0 + 0 + 0 + 320 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7380774030564 + 5921226289449 = 2716758^2 + 2433357^2 .

It is not a de Polignac number, because 13302000320013 - 2²² = 13301996125709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13302000320083) 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 19 ways as a sum of consecutive naturals, for example, 319477678 + ... + 319519311.

It is an arithmetic number, because the mean of its divisors is an integer number (997410401691).

Almost surely, 2^{13302000320013} is an apocalyptic number.

It is an amenable number.

13302000320013 is a deficient number, since it is larger than the sum of its proper divisors (6646207713807).

13302000320013 is an equidigital number, since it uses as much as digits as its factorization.

13302000320013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638997258 (or 638997249 counting only the distinct ones).

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

Adding to 13302000320013 its reverse (31002300020331), we get a palindrome (44304300340344).

The spelling of 13302000320013 in words is "thirteen trillion, three hundred two billion, three hundred twenty thousand, thirteen".