11031233133096 has 144 divisors (see below), whose sum is σ = 32925847718400. Its totient is φ = 3333976873920.

The previous prime is 11031233133023. The next prime is 11031233133113. The reversal of 11031233133096 is 69033133213011.

11031233133096 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 1 + 233 + 1 + 330 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11031233133096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1631385 + ... + 4972311.

Almost surely, 2^{11031233133096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11031233133096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16462923859200).

11031233133096 is an abundant number, since it is smaller than the sum of its proper divisors (21894614585304).

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

11031233133096 is a wasteful number, since it uses less digits than its factorization.

11031233133096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341340 (or 3341322 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The spelling of 11031233133096 in words is "eleven trillion, thirty-one billion, two hundred thirty-three million, one hundred thirty-three thousand, ninety-six".