130320 has 60 divisors (see below), whose sum is σ = 440076. Its totient is φ = 34560.

The previous prime is 130307. The next prime is 130337. The reversal of 130320 is 23031.

It is a happy number.

It is a Cunningham number, because it is equal to 19⁴-1.

It can be written as a sum of positive squares in 2 ways, for example, as 17424 + 112896 = 132^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

130320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630 + ... + 810.

2¹³⁰³²⁰ is an apocalyptic number.

130320 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 130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220038).

130320 is an abundant number, since it is smaller than the sum of its proper divisors (309756).

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

130320 is a wasteful number, since it uses less digits than its factorization.

130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 130320 is about 360.9986149558. The cubic root of 130320 is about 50.6995016465.

Adding to 130320 its reverse (23031), we get a palindrome (153351).

The spelling of 130320 in words is "one hundred thirty thousand, three hundred twenty".