11011133232 has 240 divisors, whose sum is σ = 35503977600. Its totient is φ = 3150627840.

The previous prime is 11011133219. The next prime is 11011133303. The reversal of 11011133232 is 23233111011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17124303 + ... + 17124945.

It is an arithmetic number, because the mean of its divisors is an integer number (147933240).

Almost surely, 2^11011133232 is an apocalyptic number.

11011133232 is a gapful number since it is divisible by the number (12) 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 11011133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17751988800).

11011133232 is an abundant number, since it is smaller than the sum of its proper divisors (24492844368).

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

11011133232 is a wasteful number, since it uses less digits than its factorization.

11011133232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1247 counting only the distinct ones).

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

Adding to 11011133232 its reverse (23233111011), we get a palindrome (34244244243).

The spelling of 11011133232 in words is "eleven billion, eleven million, one hundred thirty-three thousand, two hundred thirty-two".