130313132120 has 128 divisors (see below), whose sum is σ = 324280195200. Its totient is φ = 46906761216.

The previous prime is 130313132111. The next prime is 130313132143. The reversal of 130313132120 is 21231313031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130313132092 and 130313132101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1999082 + ... + 2063238.

It is an arithmetic number, because the mean of its divisors is an integer number (2533439025).

Almost surely, 2^130313132120 is an apocalyptic number.

130313132120 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 130313132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162140097600).

130313132120 is an abundant number, since it is smaller than the sum of its proper divisors (193967063080).

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

130313132120 is a wasteful number, since it uses less digits than its factorization.

130313132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64317 (or 64313 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 130313132120 its reverse (21231313031), we get a palindrome (151544445151).

The spelling of 130313132120 in words is "one hundred thirty billion, three hundred thirteen million, one hundred thirty-two thousand, one hundred twenty".