13200133200 has 60 divisors (see below), whose sum is σ = 42284430528. Its totient is φ = 3520035200.

The previous prime is 13200133127. The next prime is 13200133211. The reversal of 13200133200 is 233100231.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

13200133200 is a modest number, since divided by 133200 gives 13200 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 13200133200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5498856 + ... + 5501255.

Almost surely, 2^13200133200 is an apocalyptic number.

13200133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200133200 is an abundant number, since it is smaller than the sum of its proper divisors (29084297328).

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

13200133200 is a wasteful number, since it uses less digits than its factorization.

13200133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11000132 (or 11000121 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13200133200 its reverse (233100231), we get a palindrome (13433233431).

The spelling of 13200133200 in words is "thirteen billion, two hundred million, one hundred thirty-three thousand, two hundred".