130313220 has 96 divisors (see below), whose sum is σ = 380806272. Its totient is φ = 33266688.

The previous prime is 130313219. The next prime is 130313221. The reversal of 130313220 is 22313031.

It is an interprime number because it is at equal distance from previous prime (130313219) and next prime (130313221).

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 130313220.

It is not an unprimeable number, because it can be changed into a prime (130313221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136264 + ... + 137216.

It is an arithmetic number, because the mean of its divisors is an integer number (3966732).

Almost surely, 2^130313220 is an apocalyptic number.

130313220 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 130313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190403136).

130313220 is an abundant number, since it is smaller than the sum of its proper divisors (250493052).

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

130313220 is a wasteful number, since it uses less digits than its factorization.

130313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 130313220 is about 11415.4815929947. The cubic root of 130313220 is about 506.9862240420.

Adding to 130313220 its reverse (22313031), we get a palindrome (152626251).

The spelling of 130313220 in words is "one hundred thirty million, three hundred thirteen thousand, two hundred twenty".