13328318025120 has 768 divisors, whose sum is σ = 52879790960640. Its totient is φ = 2751357321216.

The previous prime is 13328318025109. The next prime is 13328318025133. The reversal of 13328318025120 is 2152081382331.

13328318025120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13328318025120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 269981559 + ... + 270030921.

It is an arithmetic number, because the mean of its divisors is an integer number (68853894480).

Almost surely, 2^{13328318025120} is an apocalyptic number.

13328318025120 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 13328318025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26439895480320).

13328318025120 is an abundant number, since it is smaller than the sum of its proper divisors (39551472935520).

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

13328318025120 is a wasteful number, since it uses less digits than its factorization.

13328318025120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49597 (or 49589 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 13328318025120 in words is "thirteen trillion, three hundred twenty-eight billion, three hundred eighteen million, twenty-five thousand, one hundred twenty".