13180200 has 96 divisors (see below), whose sum is σ = 44595360. Its totient is φ = 3193600.

The previous prime is 13180183. The next prime is 13180201. The reversal of 13180200 is 208131.

It is a happy number.

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 13180200.

It is not an unprimeable number, because it can be changed into a prime (13180201) 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, 5602 + ... + 7598.

It is an arithmetic number, because the mean of its divisors is an integer number (464535).

Almost surely, 2^13180200 is an apocalyptic number.

13180200 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 13180200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22297680).

13180200 is an abundant number, since it is smaller than the sum of its proper divisors (31415160).

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

13180200 is a wasteful number, since it uses less digits than its factorization.

13180200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2018 counting only the distinct ones).

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

The square root of 13180200 is about 3630.4545169992. The cubic root of 13180200 is about 236.2149243859.

Adding to 13180200 its reverse (208131), we get a palindrome (13388331).

The spelling of 13180200 in words is "thirteen million, one hundred eighty thousand, two hundred".