13132200 has 96 divisors (see below), whose sum is σ = 41738400. Its totient is φ = 3413760.

The previous prime is 13132193. The next prime is 13132219. The reversal of 13132200 is 223131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 25546 + ... + 26054.

It is an arithmetic number, because the mean of its divisors is an integer number (434775).

Almost surely, 2^13132200 is an apocalyptic number.

13132200 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 13132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20869200).

13132200 is an abundant number, since it is smaller than the sum of its proper divisors (28606200).

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

13132200 is a wasteful number, since it uses less digits than its factorization.

13132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13132200 is about 3623.8377447121. The cubic root of 13132200 is about 235.9278243331.

Adding to 13132200 its reverse (223131), we get a palindrome (13355331).

The spelling of 13132200 in words is "thirteen million, one hundred thirty-two thousand, two hundred".