11132133320 has 128 divisors (see below), whose sum is σ = 31623782400. Its totient is φ = 3425760000.

The previous prime is 11132133293. The next prime is 11132133349. The reversal of 11132133320 is 2333123111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11132133292 and 11132133301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220445 + ... + 266195.

It is an arithmetic number, because the mean of its divisors is an integer number (247060800).

Almost surely, 2^11132133320 is an apocalyptic number.

11132133320 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 11132133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15811891200).

11132133320 is an abundant number, since it is smaller than the sum of its proper divisors (20491649080).

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

11132133320 is a wasteful number, since it uses less digits than its factorization.

11132133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45859 (or 45855 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 11132133320 its reverse (2333123111), we get a palindrome (13465256431).

The spelling of 11132133320 in words is "eleven billion, one hundred thirty-two million, one hundred thirty-three thousand, three hundred twenty".