130113120002120 has 256 divisors, whose sum is σ = 315305913600000. Its totient is φ = 48173884323840.

The previous prime is 130113120002039. The next prime is 130113120002143. The reversal of 130113120002120 is 21200021311031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8664380852 + ... + 8664395868.

It is an arithmetic number, because the mean of its divisors is an integer number (1231663725000).

Almost surely, 2^{130113120002120} is an apocalyptic number.

130113120002120 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 130113120002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157652956800000).

130113120002120 is an abundant number, since it is smaller than the sum of its proper divisors (185192793597880).

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

130113120002120 is a wasteful number, since it uses less digits than its factorization.

130113120002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16276 (or 16272 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 130113120002120 its reverse (21200021311031), we get a palindrome (151313141313151).

The spelling of 130113120002120 in words is "one hundred thirty trillion, one hundred thirteen billion, one hundred twenty million, two thousand, one hundred twenty".