13200 has 60 divisors (see below), whose sum is σ = 46128. Its totient is φ = 3200.

The previous prime is 13187. The next prime is 13217. The reversal of 13200 is 231.

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

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 1195 + ... + 1205.

2¹³²⁰⁰ is an apocalyptic number.

13200 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 13200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23064).

13200 is an abundant number, since it is smaller than the sum of its proper divisors (32928).

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

13200 is a wasteful number, since it uses less digits than its factorization.

13200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 13200 is about 114.8912529308. The cubic root of 13200 is about 23.6333150094.

Adding to 13200 its reverse (231), we get a palindrome (13431).

The spelling of 13200 in words is "thirteen thousand, two hundred".