13081200 has 120 divisors (see below), whose sum is σ = 45758976. Its totient is φ = 3168000.

The previous prime is 13081193. The next prime is 13081207. The reversal of 13081200 is 218031.

It is a happy number.

13081200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13081193) and next prime (13081207).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×13081200² = 342235586880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13081200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13081207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12705 + ... + 13695.

Almost surely, 2^13081200 is an apocalyptic number.

13081200 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 13081200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22879488).

13081200 is an abundant number, since it is smaller than the sum of its proper divisors (32677776).

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

13081200 is a wasteful number, since it uses less digits than its factorization.

13081200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 13081200 is about 3616.7941605792. The cubic root of 13081200 is about 235.6220129456.

Adding to 13081200 its reverse (218031), we get a palindrome (13299231).

The spelling of 13081200 in words is "thirteen million, eighty-one thousand, two hundred".