11332131011100 has 216 divisors, whose sum is σ = 35578722816000. Its totient is φ = 3016904330880.

The previous prime is 11332131011081. The next prime is 11332131011209. The reversal of 11332131011100 is 111013123311.

11332131011100 is a `hidden beast` number, since 1 + 1 + 332 + 1 + 310 + 11 + 10 + 0 = 666.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 2248882381 + ... + 2248887419.

Almost surely, 2^{11332131011100} is an apocalyptic number.

11332131011100 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 11332131011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17789361408000).

11332131011100 is an abundant number, since it is smaller than the sum of its proper divisors (24246591804900).

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

11332131011100 is a wasteful number, since it uses less digits than its factorization.

11332131011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8697 (or 8687 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11332131011100 its reverse (111013123311), we get a palindrome (11443144134411).

The spelling of 11332131011100 in words is "eleven trillion, three hundred thirty-two billion, one hundred thirty-one million, eleven thousand, one hundred".