13301200 has 60 divisors (see below), whose sum is σ = 34872768. Its totient is φ = 4835200.

The previous prime is 13301177. The next prime is 13301203. The reversal of 13301200 is 210331.

13301200 is nontrivially palindromic in base 12.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2889 + ... + 5911.

Almost surely, 2^13301200 is an apocalyptic number.

13301200 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 13301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17436384).

13301200 is an abundant number, since it is smaller than the sum of its proper divisors (21571568).

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

13301200 is a wasteful number, since it uses less digits than its factorization.

13301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 13301200 is about 3647.0810246004. The cubic root of 13301200 is about 236.9355756691.

Adding to 13301200 its reverse (210331), we get a palindrome (13511531).

The spelling of 13301200 in words is "thirteen million, three hundred one thousand, two hundred".