11113132320 has 144 divisors (see below), whose sum is σ = 38072394360. Its totient is φ = 2951872512.

The previous prime is 11113132279. The next prime is 11113132343. The reversal of 11113132320 is 2323131111.

It can be written as a sum of positive squares in 4 ways, for example, as 10667584656 + 445547664 = 103284^2 + 21108^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11113132293 and 11113132302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355066 + ... + 385094.

Almost surely, 2^11113132320 is an apocalyptic number.

11113132320 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 11113132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19036197180).

11113132320 is an abundant number, since it is smaller than the sum of its proper divisors (26959262040).

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

11113132320 is a wasteful number, since it uses less digits than its factorization.

11113132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30307 (or 30296 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11113132320 its reverse (2323131111), we get a palindrome (13436263431).

The spelling of 11113132320 in words is "eleven billion, one hundred thirteen million, one hundred thirty-two thousand, three hundred twenty".