130013200 has 60 divisors (see below), whose sum is σ = 328815760. Its totient is φ = 49265280.

The previous prime is 130013179. The next prime is 130013203. The reversal of 130013200 is 2310031.

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

It is not an unprimeable number, because it can be changed into a prime (130013203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 954 + ... + 16153.

Almost surely, 2^130013200 is an apocalyptic number.

130013200 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 130013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164407880).

130013200 is an abundant number, since it is smaller than the sum of its proper divisors (198802560).

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

130013200 is a wasteful number, since it uses less digits than its factorization.

130013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17144 (or 17133 counting only the distinct ones).

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

The square root of 130013200 is about 11402.3330945908. Note that the first 3 decimals coincide. The cubic root of 130013200 is about 506.5968471043.

Adding to 130013200 its reverse (2310031), we get a palindrome (132323231).

The spelling of 130013200 in words is "one hundred thirty million, thirteen thousand, two hundred".