10013130120 has 256 divisors, whose sum is σ = 34985779200. Its totient is φ = 2245478400.

The previous prime is 10013130119. The next prime is 10013130137. The reversal of 10013130120 is 2103131001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10013130096 and 10013130105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11288317 + ... + 11289203.

It is an arithmetic number, because the mean of its divisors is an integer number (136663200).

Almost surely, 2^10013130120 is an apocalyptic number.

10013130120 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 10013130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17492889600).

10013130120 is an abundant number, since it is smaller than the sum of its proper divisors (24972649080).

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

10013130120 is a wasteful number, since it uses less digits than its factorization.

10013130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10013130120 its reverse (2103131001), we get a palindrome (12116261121).

The spelling of 10013130120 in words is "ten billion, thirteen million, one hundred thirty thousand, one hundred twenty".