1100332330011 has 12 divisors (see below), whose sum is σ = 1590831096192. Its totient is φ = 732880036656.

The previous prime is 1100332330003. The next prime is 1100332330033.

It is a happy number.

1100332330011 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 332 + 330 + 0 + 1 + 1 = 666.

1100332330011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1100332330011 - 2³ = 1100332330003 is a prime.

It is a super-2 number, since 2×1100332330011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1100332330211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56227176 + ... + 56246741.

It is an arithmetic number, because the mean of its divisors is an integer number (132569258016).

Almost surely, 2^{1100332330011} is an apocalyptic number.

1100332330011 is a deficient number, since it is larger than the sum of its proper divisors (490498766181).

1100332330011 is a wasteful number, since it uses less digits than its factorization.

1100332330011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112475010 (or 112475007 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The spelling of 1100332330011 in words is "one trillion, one hundred billion, three hundred thirty-two million, three hundred thirty thousand, eleven".