13117393715328 has 384 divisors, whose sum is σ = 47091373056000. Its totient is φ = 3550571615232.

The previous prime is 13117393715299. The next prime is 13117393715407. The reversal of 13117393715328 is 82351739371131.

13117393715328 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 7 + 39 + 3 + 71 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2551393 + ... + 5722271.

It is an arithmetic number, because the mean of its divisors is an integer number (122633784000).

Almost surely, 2^{13117393715328} is an apocalyptic number.

13117393715328 is a gapful number since it is divisible by the number (18) 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 13117393715328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23545686528000).

13117393715328 is an abundant number, since it is smaller than the sum of its proper divisors (33973979340672).

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

13117393715328 is an equidigital number, since it uses as much as digits as its factorization.

13117393715328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170934 (or 3170910 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 13117393715328 in words is "thirteen trillion, one hundred seventeen billion, three hundred ninety-three million, seven hundred fifteen thousand, three hundred twenty-eight".