13300400 has 60 divisors (see below), whose sum is σ = 32773944. Its totient is φ = 5184000.

The previous prime is 13300367. The next prime is 13300471. The reversal of 13300400 is 400331.

13300400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 15995 + ... + 16805.

Almost surely, 2^13300400 is an apocalyptic number.

13300400 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 13300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16386972).

13300400 is an abundant number, since it is smaller than the sum of its proper divisors (19473544).

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

13300400 is a wasteful number, since it uses less digits than its factorization.

13300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 13300400 is about 3646.9713461995. The cubic root of 13300400 is about 236.9308254144.

Adding to 13300400 its reverse (400331), we get a palindrome (13700731).

The spelling of 13300400 in words is "thirteen million, three hundred thousand, four hundred".