13115200 has 84 divisors (see below), whose sum is σ = 36913312. Its totient is φ = 4492800.

The previous prime is 13115197. The next prime is 13115227. The reversal of 13115200 is 251131.

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, 10615 + ... + 11785.

Almost surely, 2^13115200 is an apocalyptic number.

13115200 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 13115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18456656).

13115200 is an abundant number, since it is smaller than the sum of its proper divisors (23798112).

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

13115200 is a wasteful number, since it uses less digits than its factorization.

13115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 13115200 is about 3621.4914054848. The cubic root of 13115200 is about 235.8259753171.

Adding to 13115200 its reverse (251131), we get a palindrome (13366331).

The spelling of 13115200 in words is "thirteen million, one hundred fifteen thousand, two hundred".