13088127936000 has 960 divisors, whose sum is σ = 47336691257856. Its totient is φ = 3206860800000.

The previous prime is 13088127935791. The next prime is 13088127936017. The reversal of 13088127936000 is 63972188031.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8144447197 + ... + 8144448803.

Almost surely, 2^{13088127936000} is an apocalyptic number.

13088127936000 is a gapful number since it is divisible by the number (10) 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 13088127936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23668345628928).

13088127936000 is an abundant number, since it is smaller than the sum of its proper divisors (34248563321856).

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

13088127936000 is a wasteful number, since it uses less digits than its factorization.

13088127936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 13088127936000 in words is "thirteen trillion, eighty-eight billion, one hundred twenty-seven million, nine hundred thirty-six thousand".