11132133120 has 216 divisors, whose sum is σ = 40782386736. Its totient is φ = 2793897984.

The previous prime is 11132133119. The next prime is 11132133161. The reversal of 11132133120 is 2133123111.

11132133120 is a `hidden beast` number, since 1 + 11 + 321 + 331 + 2 + 0 = 666.

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 = 11132133093 and 11132133102.

It is a congruent number.

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, 167419 + ... + 224261.

It is an arithmetic number, because the mean of its divisors is an integer number (188807346).

Almost surely, 2^11132133120 is an apocalyptic number.

11132133120 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 11132133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20391193368).

11132133120 is an abundant number, since it is smaller than the sum of its proper divisors (29650253616).

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

11132133120 is a wasteful number, since it uses less digits than its factorization.

11132133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56887 (or 56870 counting only the distinct ones).

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

Adding to 11132133120 its reverse (2133123111), we get a palindrome (13265256231).

It can be divided in two parts, 111321 and 33120, that added together give a palindrome (144441).

The spelling of 11132133120 in words is "eleven billion, one hundred thirty-two million, one hundred thirty-three thousand, one hundred twenty".