13321800128 has 336 divisors, whose sum is σ = 34869510144. Its totient is φ = 4999034880.

The previous prime is 13321800127. The next prime is 13321800131. The reversal of 13321800128 is 82100812331.

It is a self number, because there is not a number n which added to its sum of digits gives 13321800128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321800127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104896001 + ... + 104896127.

It is an arithmetic number, because the mean of its divisors is an integer number (103778304).

Almost surely, 2^13321800128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13321800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17434755072).

13321800128 is an abundant number, since it is smaller than the sum of its proper divisors (21547710016).

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

13321800128 is a wasteful number, since it uses less digits than its factorization.

13321800128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 13321800128 in words is "thirteen billion, three hundred twenty-one million, eight hundred thousand, one hundred twenty-eight".