11023113120 has 96 divisors (see below), whose sum is σ = 34780378752. Its totient is φ = 2934623232.

The previous prime is 11023113113. The next prime is 11023113161. The reversal of 11023113120 is 2131132011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11023113120² (a number of 21 digits) contains 22 as substring.

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 11023113120.

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, 275509 + ... + 312971.

It is an arithmetic number, because the mean of its divisors is an integer number (362295612).

Almost surely, 2^11023113120 is an apocalyptic number.

11023113120 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 11023113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17390189376).

11023113120 is an abundant number, since it is smaller than the sum of its proper divisors (23757265632).

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

11023113120 is a wasteful number, since it uses less digits than its factorization.

11023113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38094 (or 38086 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11023113120 its reverse (2131132011), we get a palindrome (13154245131).

The spelling of 11023113120 in words is "eleven billion, twenty-three million, one hundred thirteen thousand, one hundred twenty".