130005314120 has 128 divisors (see below), whose sum is σ = 327138497280. Its totient is φ = 46086144000.

The previous prime is 130005314113. The next prime is 130005314137. The reversal of 130005314120 is 21413500031.

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 = 130005314092 and 130005314101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37539509 + ... + 37542971.

It is an arithmetic number, because the mean of its divisors is an integer number (2555769510).

Almost surely, 2^130005314120 is an apocalyptic number.

130005314120 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 130005314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163569248640).

130005314120 is an abundant number, since it is smaller than the sum of its proper divisors (197133183160).

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

130005314120 is a wasteful number, since it uses less digits than its factorization.

130005314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5607 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 130005314120 its reverse (21413500031), we get a palindrome (151418814151).

The spelling of 130005314120 in words is "one hundred thirty billion, five million, three hundred fourteen thousand, one hundred twenty".