10013113022120 has 320 divisors, whose sum is σ = 26009361040320. Its totient is φ = 3457229008896.

The previous prime is 10013113022117. The next prime is 10013113022161. The reversal of 10013113022120 is 2122031131001.

It is a super-3 number, since 3×10013113022120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3165699659 + ... + 3165702821.

It is an arithmetic number, because the mean of its divisors is an integer number (81279253251).

Almost surely, 2^{10013113022120} is an apocalyptic number.

10013113022120 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 10013113022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13004680520160).

10013113022120 is an abundant number, since it is smaller than the sum of its proper divisors (15996248018200).

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

10013113022120 is a wasteful number, since it uses less digits than its factorization.

10013113022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3363 counting only the distinct ones).

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

Adding to 10013113022120 its reverse (2122031131001), we get a palindrome (12135144153121).

The spelling of 10013113022120 in words is "ten trillion, thirteen billion, one hundred thirteen million, twenty-two thousand, one hundred twenty".