13128388800 has 84 divisors (see below), whose sum is σ = 43072071336. Its totient is φ = 3500902400.

The previous prime is 13128388709. The next prime is 13128388807. The reversal of 13128388800 is 888382131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13128388807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1362741 + ... + 1372340.

It is an arithmetic number, because the mean of its divisors is an integer number (512762754).

Almost surely, 2^13128388800 is an apocalyptic number.

13128388800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13128388800 is an abundant number, since it is smaller than the sum of its proper divisors (29943682536).

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

13128388800 is a wasteful number, since it uses less digits than its factorization.

13128388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735106 (or 2735091 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 13128388800 in words is "thirteen billion, one hundred twenty-eight million, three hundred eighty-eight thousand, eight hundred".