13317872957172 has 288 divisors, whose sum is σ = 40051031820800. Its totient is φ = 3652217496576.

The previous prime is 13317872957171. The next prime is 13317872957173. The reversal of 13317872957172 is 27175927871331.

13317872957172 is a `hidden beast` number, since 1 + 3 + 3 + 178 + 7 + 295 + 7 + 172 = 666.

It is an interprime number because it is at equal distance from previous prime (13317872957171) and next prime (13317872957173).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13317872957171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232707753 + ... + 232764975.

Almost surely, 2^{13317872957172} is an apocalyptic number.

13317872957172 is a gapful number since it is divisible by the number (12) 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 13317872957172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20025515910400).

13317872957172 is an abundant number, since it is smaller than the sum of its proper divisors (26733158863628).

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

13317872957172 is a wasteful number, since it uses less digits than its factorization.

13317872957172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57615 (or 57610 counting only the distinct ones).

The product of its digits is 31116960, while the sum is 63.

The spelling of 13317872957172 in words is "thirteen trillion, three hundred seventeen billion, eight hundred seventy-two million, nine hundred fifty-seven thousand, one hundred seventy-two".