10113301120 has 256 divisors, whose sum is σ = 27192775680. Its totient is φ = 3571384320.

The previous prime is 10113301117. The next prime is 10113301217. The reversal of 10113301120 is 2110331101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10113301120.

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, 29144787 + ... + 29145133.

It is an arithmetic number, because the mean of its divisors is an integer number (106221780).

Almost surely, 2^10113301120 is an apocalyptic number.

10113301120 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 10113301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13596387840).

10113301120 is an abundant number, since it is smaller than the sum of its proper divisors (17079474560).

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

10113301120 is a wasteful number, since it uses less digits than its factorization.

10113301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10113301120 its reverse (2110331101), we get a palindrome (12223632221).

The spelling of 10113301120 in words is "ten billion, one hundred thirteen million, three hundred one thousand, one hundred twenty".