130304320 has 84 divisors (see below), whose sum is σ = 329846940. Its totient is φ = 49020928.

The previous prime is 130304281. The next prime is 130304329. The reversal of 130304320 is 23403031.

It can be written as a sum of positive squares in 6 ways, for example, as 1617984 + 128686336 = 1272^2 + 11344^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 130304294 and 130304303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130304329) 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, 91776 + ... + 93184.

Almost surely, 2^130304320 is an apocalyptic number.

130304320 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 130304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164923470).

130304320 is an abundant number, since it is smaller than the sum of its proper divisors (199542620).

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

130304320 is a wasteful number, since it uses less digits than its factorization.

130304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 130304320 is about 11415.0917648524. The cubic root of 130304320 is about 506.9746819025.

Adding to 130304320 its reverse (23403031), we get a palindrome (153707351).

The spelling of 130304320 in words is "one hundred thirty million, three hundred four thousand, three hundred twenty".