13008326800 has 240 divisors, whose sum is σ = 36891944320. Its totient is φ = 4314746880.

The previous prime is 13008326789. The next prime is 13008326809. The reversal of 13008326800 is 862380031.

It is a super-2 number, since 2×13008326800² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13008326809) 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, 31804996 + ... + 31805404.

Almost surely, 2^13008326800 is an apocalyptic number.

13008326800 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 13008326800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18445972160).

13008326800 is an abundant number, since it is smaller than the sum of its proper divisors (23883617520).

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

13008326800 is a wasteful number, since it uses less digits than its factorization.

13008326800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 13008326800 in words is "thirteen billion, eight million, three hundred twenty-six thousand, eight hundred".