13336807200 has 144 divisors (see below), whose sum is σ = 43489154016. Its totient is φ = 3550105600.

The previous prime is 13336807157. The next prime is 13336807223. The reversal of 13336807200 is 270863331.

13336807200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1418515 + ... + 1427885.

It is an arithmetic number, because the mean of its divisors is an integer number (302008014).

Almost surely, 2^13336807200 is an apocalyptic number.

13336807200 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 13336807200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21744577008).

13336807200 is an abundant number, since it is smaller than the sum of its proper divisors (30152346816).

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

13336807200 is a wasteful number, since it uses less digits than its factorization.

13336807200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9987 (or 9974 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 13336807200 in words is "thirteen billion, three hundred thirty-six million, eight hundred seven thousand, two hundred".