13313200 has 60 divisors (see below), whose sum is σ = 32451048. Its totient is φ = 5248000.

The previous prime is 13313191. The next prime is 13313203. The reversal of 13313200 is 231331.

It is not an unprimeable number, because it can be changed into a prime (13313203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33000 + ... + 33400.

Almost surely, 2^13313200 is an apocalyptic number.

13313200 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 13313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16225524).

13313200 is an abundant number, since it is smaller than the sum of its proper divisors (19137848).

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

13313200 is a wasteful number, since it uses less digits than its factorization.

13313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 13313200 is about 3648.7258049900. The cubic root of 13313200 is about 237.0068066434.

Adding to 13313200 its reverse (231331), we get a palindrome (13544531).

The spelling of 13313200 in words is "thirteen million, three hundred thirteen thousand, two hundred".