13213128720816 has 360 divisors, whose sum is σ = 41004471081600. Its totient is φ = 4115294346240.

The previous prime is 13213128720767. The next prime is 13213128720947. The reversal of 13213128720816 is 61802782131231.

13213128720816 is a `hidden beast` number, since 1 + 32 + 131 + 287 + 208 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94303420 + ... + 94443428.

It is an arithmetic number, because the mean of its divisors is an integer number (113901308560).

Almost surely, 2^{13213128720816} is an apocalyptic number.

13213128720816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13213128720816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20502235540800).

13213128720816 is an abundant number, since it is smaller than the sum of its proper divisors (27791342360784).

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

13213128720816 is an equidigital number, since it uses as much as digits as its factorization.

13213128720816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140101 (or 140074 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 13213128720816 in words is "thirteen trillion, two hundred thirteen billion, one hundred twenty-eight million, seven hundred twenty thousand, eight hundred sixteen".