13381200 has 300 divisors, whose sum is σ = 55814880. Its totient is φ = 3006720.

The previous prime is 13381189. The next prime is 13381217. The reversal of 13381200 is 218331.

13381200 = 48³ + 49³ + ... + 87³.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 226771 + ... + 226829.

Almost surely, 2^13381200 is an apocalyptic number.

13381200 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 13381200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27907440).

13381200 is an abundant number, since it is smaller than the sum of its proper divisors (42433680).

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

13381200 is a wasteful number, since it uses less digits than its factorization.

13381200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13381200 is about 3658.0322579223. The cubic root of 13381200 is about 237.4096424512.

Adding to 13381200 its reverse (218331), we get a palindrome (13599531).

The spelling of 13381200 in words is "thirteen million, three hundred eighty-one thousand, two hundred".