130531200 has 96 divisors (see below), whose sum is σ = 429968760. Its totient is φ = 34805760.

The previous prime is 130531189. The next prime is 130531201. The reversal of 130531200 is 2135031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 130531200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130531201) 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, 2802 + ... + 16398.

Almost surely, 2^130531200 is an apocalyptic number.

130531200 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 130531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214984380).

130531200 is an abundant number, since it is smaller than the sum of its proper divisors (299437560).

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

130531200 is a wasteful number, since it uses less digits than its factorization.

130531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13624 (or 13607 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 130531200 is about 11425.0251640861. The cubic root of 130531200 is about 507.2687517718.

Adding to 130531200 its reverse (2135031), we get a palindrome (132666231).

The spelling of 130531200 in words is "one hundred thirty million, five hundred thirty-one thousand, two hundred".