13233204400 has 120 divisors (see below), whose sum is σ = 34819490160. Its totient is φ = 4803179520.

The previous prime is 13233204367. The next prime is 13233204437. The reversal of 13233204400 is 440233231.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285234 + ... + 328366.

It is an arithmetic number, because the mean of its divisors is an integer number (290162418).

Almost surely, 2^13233204400 is an apocalyptic number.

13233204400 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 13233204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409745080).

13233204400 is an abundant number, since it is smaller than the sum of its proper divisors (21586285760).

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

13233204400 is a wasteful number, since it uses less digits than its factorization.

13233204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43223 (or 43212 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 13233204400 its reverse (440233231), we get a palindrome (13673437631).

The spelling of 13233204400 in words is "thirteen billion, two hundred thirty-three million, two hundred four thousand, four hundred".