33118881133 has 12 divisors (see below), whose sum is σ = 37642475388. Its totient is φ = 28962256320.

The previous prime is 33118881127. The next prime is 33118881139.

33118881133 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (33118881127) and next prime (33118881139).

It can be written as a sum of positive squares in 2 ways, for example, as 5054925604 + 28063955529 = 71098^2 + 167523^2 .

It is not a de Polignac number, because 33118881133 - 2⁵ = 33118881101 is a prime.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33118881139) 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, 3523848 + ... + 3533233.

It is an arithmetic number, because the mean of its divisors is an integer number (3136872949).

Almost surely, 2^33118881133 is an apocalyptic number.

It is an amenable number.

33118881133 is a deficient number, since it is larger than the sum of its proper divisors (4523594255).

33118881133 is a wasteful number, since it uses less digits than its factorization.

33118881133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7057132 (or 7057113 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The spelling of 33118881133 in words is "thirty-three billion, one hundred eighteen million, eight hundred eighty-one thousand, one hundred thirty-three".