13317160000 has 105 divisors (see below), whose sum is σ = 33079558809. Its totient is φ = 5317632000.

The previous prime is 13317159959. The next prime is 13317160007. The reversal of 13317160000 is 6171331.

The square root of 13317160000 is 115400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1715285056 + 11601874944 = 41416^2 + 107712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13317160007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23079712 + ... + 23080288.

Almost surely, 2^13317160000 is an apocalyptic number.

13317160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13317160000 is the 115400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13317160000

13317160000 is an abundant number, since it is smaller than the sum of its proper divisors (19762398809).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13317160000 is an frugal number, since it uses more digits than its factorization.

13317160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The spelling of 13317160000 in words is "thirteen billion, three hundred seventeen million, one hundred sixty thousand".