13020400 has 60 divisors (see below), whose sum is σ = 32051272. Its totient is φ = 5080320.

The previous prime is 13020383. The next prime is 13020431. The reversal of 13020400 is 402031.

13020400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 16822 + ... + 17578.

Almost surely, 2^13020400 is an apocalyptic number.

13020400 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 13020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16025636).

13020400 is an abundant number, since it is smaller than the sum of its proper divisors (19030872).

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

13020400 is a wasteful number, since it uses less digits than its factorization.

13020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 13020400 is about 3608.3791375076. The cubic root of 13020400 is about 235.2563973847.

Adding to 13020400 its reverse (402031), we get a palindrome (13422431).

The spelling of 13020400 in words is "thirteen million, twenty thousand, four hundred".