13320703200 has 576 divisors, whose sum is σ = 51593697792. Its totient is φ = 2922086400.

The previous prime is 13320703181. The next prime is 13320703213. The reversal of 13320703200 is 230702331.

It is a super-2 number, since 2×13320703200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

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, 57170284 + ... + 57170516.

It is an arithmetic number, because the mean of its divisors is an integer number (89572392).

Almost surely, 2^13320703200 is an apocalyptic number.

13320703200 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 13320703200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25796848896).

13320703200 is an abundant number, since it is smaller than the sum of its proper divisors (38272994592).

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

13320703200 is a wasteful number, since it uses less digits than its factorization.

13320703200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The spelling of 13320703200 in words is "thirteen billion, three hundred twenty million, seven hundred three thousand, two hundred".