13288200 has 48 divisors (see below), whose sum is σ = 41195280. Its totient is φ = 3543360.

The previous prime is 13288199. The next prime is 13288207. The reversal of 13288200 is 288231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13288207) 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, 10474 + ... + 11673.

It is an arithmetic number, because the mean of its divisors is an integer number (858235).

Almost surely, 2^13288200 is an apocalyptic number.

13288200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13288200 is an abundant number, since it is smaller than the sum of its proper divisors (27907080).

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

13288200 is a wasteful number, since it uses less digits than its factorization.

13288200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22166 (or 22157 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 13288200 is about 3645.2983416999. The cubic root of 13288200 is about 236.8583604178.

The spelling of 13288200 in words is "thirteen million, two hundred eighty-eight thousand, two hundred".