10011333120 has 160 divisors (see below), whose sum is σ = 32125800960. Its totient is φ = 2659614720.

The previous prime is 10011333067. The next prime is 10011333131. The reversal of 10011333120 is 2133311001.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10011333120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2155761 + ... + 2160399.

It is an arithmetic number, because the mean of its divisors is an integer number (200786256).

Almost surely, 2^10011333120 is an apocalyptic number.

10011333120 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 10011333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16062900480).

10011333120 is an abundant number, since it is smaller than the sum of its proper divisors (22114467840).

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

10011333120 is an equidigital number, since it uses as much as digits as its factorization.

10011333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10011333120 its reverse (2133311001), we get a palindrome (12144644121).

The spelling of 10011333120 in words is "ten billion, eleven million, three hundred thirty-three thousand, one hundred twenty".