130121313120 has 72 divisors (see below), whose sum is σ = 444038985936. Its totient is φ = 34699016448.

The previous prime is 130121313109. The next prime is 130121313143. The reversal of 130121313120 is 21313121031.

130121313120 is a `hidden beast` number, since 1 + 301 + 21 + 31 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×130121313120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130121313093 and 130121313102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45179572 + ... + 45182451.

It is an arithmetic number, because the mean of its divisors is an integer number (6167208138).

Almost surely, 2^130121313120 is an apocalyptic number.

130121313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130121313120 is an abundant number, since it is smaller than the sum of its proper divisors (313917672816).

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

130121313120 is a wasteful number, since it uses less digits than its factorization.

130121313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90362044 (or 90362033 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130121313120 its reverse (21313121031), we get a palindrome (151434434151).

The spelling of 130121313120 in words is "one hundred thirty billion, one hundred twenty-one million, three hundred thirteen thousand, one hundred twenty".