13038800 has 60 divisors (see below), whose sum is σ = 32208876. Its totient is φ = 5068800.

The previous prime is 13038799. The next prime is 13038827. The reversal of 13038800 is 883031.

13038800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 107584 + 12931216 = 328^2 + 3596^2 .

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, 14360 + ... + 15240.

Almost surely, 2^13038800 is an apocalyptic number.

13038800 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 13038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16104438).

13038800 is an abundant number, since it is smaller than the sum of its proper divisors (19170076).

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

13038800 is a wasteful number, since it uses less digits than its factorization.

13038800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 13038800 is about 3610.9278585981. The cubic root of 13038800 is about 235.3671640853.

The spelling of 13038800 in words is "thirteen million, thirty-eight thousand, eight hundred".