13310400 has 168 divisors, whose sum is σ = 45354240. Its totient is φ = 3415040.

The previous prime is 13310387. The next prime is 13310411. The reversal of 13310400 is 401331.

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

It is a congruent number.

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, 225571 + ... + 225629.

Almost surely, 2^13310400 is an apocalyptic number.

13310400 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 13310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22677120).

13310400 is an abundant number, since it is smaller than the sum of its proper divisors (32043840).

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

13310400 is a wasteful number, since it uses less digits than its factorization.

13310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 116 counting only the distinct ones).

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

The square root of 13310400 is about 3648.3420892235. The cubic root of 13310400 is about 236.9901899124.

Adding to 13310400 its reverse (401331), we get a palindrome (13711731).

The spelling of 13310400 in words is "thirteen million, three hundred ten thousand, four hundred".