13132800 has 264 divisors, whose sum is σ = 50765600. Its totient is φ = 3317760.

The previous prime is 13132783. The next prime is 13132831. The reversal of 13132800 is 823131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

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, 691191 + ... + 691209.

Almost surely, 2^13132800 is an apocalyptic number.

13132800 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 13132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25382800).

13132800 is an abundant number, since it is smaller than the sum of its proper divisors (37632800).

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

13132800 is a wasteful number, since it uses less digits than its factorization.

13132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13132800 is about 3623.9205289300. The cubic root of 13132800 is about 235.9314173980.

Adding to 13132800 its reverse (823131), we get a palindrome (13955931).

The spelling of 13132800 in words is "thirteen million, one hundred thirty-two thousand, eight hundred".