13102400 has 84 divisors (see below), whose sum is σ = 34015680. Its totient is φ = 4953600.

The previous prime is 13102361. The next prime is 13102417. The reversal of 13102400 is 420131.

It is a happy number.

13102400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 30185 + ... + 30615.

Almost surely, 2^13102400 is an apocalyptic number.

13102400 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 13102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17007840).

13102400 is an abundant number, since it is smaller than the sum of its proper divisors (20913280).

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

13102400 is a wasteful number, since it uses less digits than its factorization.

13102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 13102400 is about 3619.7237463652. The cubic root of 13102400 is about 235.7492309028.

Adding to 13102400 its reverse (420131), we get a palindrome (13522531).

The spelling of 13102400 in words is "thirteen million, one hundred two thousand, four hundred".