11323133122032 has 320 divisors, whose sum is σ = 33325051584000. Its totient is φ = 3679980429312.

The previous prime is 11323133122019. The next prime is 11323133122057. The reversal of 11323133122032 is 23022133132311.

11323133122032 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 313 + 312 + 2 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11323133121987 and 11323133122005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4981579648 + ... + 4981581920.

It is an arithmetic number, because the mean of its divisors is an integer number (104140786200).

Almost surely, 2^{11323133122032} is an apocalyptic number.

11323133122032 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 11323133122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16662525792000).

11323133122032 is an abundant number, since it is smaller than the sum of its proper divisors (22001918461968).

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

11323133122032 is a wasteful number, since it uses less digits than its factorization.

11323133122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4033 counting only the distinct ones).

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

Adding to 11323133122032 its reverse (23022133132311), we get a palindrome (34345266254343).

The spelling of 11323133122032 in words is "eleven trillion, three hundred twenty-three billion, one hundred thirty-three million, one hundred twenty-two thousand, thirty-two".