11232133103232 has 192 divisors, whose sum is σ = 34201954200960. Its totient is φ = 3530818959360.

The previous prime is 11232133103179. The next prime is 11232133103251. The reversal of 11232133103232 is 23230133123211.

11232133103232 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 2 + 1 + 331 + 0 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×11232133103232³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11232133103196 and 11232133103205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1104123 + ... + 4866554.

It is an arithmetic number, because the mean of its divisors is an integer number (178135178130).

Almost surely, 2^{11232133103232} is an apocalyptic number.

11232133103232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11232133103232 is an abundant number, since it is smaller than the sum of its proper divisors (22969821097728).

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

11232133103232 is a wasteful number, since it uses less digits than its factorization.

11232133103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5970791 (or 5970776 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11232133103232 its reverse (23230133123211), we get a palindrome (34462266226443).

The spelling of 11232133103232 in words is "eleven trillion, two hundred thirty-two billion, one hundred thirty-three million, one hundred three thousand, two hundred thirty-two".