13388981329920 has 896 divisors, whose sum is σ = 51625342089216. Its totient is φ = 2896687005696.

The previous prime is 13388981329909. The next prime is 13388981329937. The reversal of 13388981329920 is 2992318988331.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1919013472 + ... + 1919020448.

It is an arithmetic number, because the mean of its divisors is an integer number (57617569296).

Almost surely, 2^{13388981329920} is an apocalyptic number.

13388981329920 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 13388981329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25812671044608).

13388981329920 is an abundant number, since it is smaller than the sum of its proper divisors (38236360759296).

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

13388981329920 is an equidigital number, since it uses as much as digits as its factorization.

13388981329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7138 (or 7114 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 66.

The spelling of 13388981329920 in words is "thirteen trillion, three hundred eighty-eight billion, nine hundred eighty-one million, three hundred twenty-nine thousand, nine hundred twenty".