33132031104 has 192 divisors, whose sum is σ = 90888487200. Its totient is φ = 10693079040.

The previous prime is 33132031073. The next prime is 33132031129. The reversal of 33132031104 is 40113023133.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 117907444 + ... + 117907724.

Almost surely, 2^33132031104 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 33132031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45444243600).

33132031104 is an abundant number, since it is smaller than the sum of its proper divisors (57756456096).

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

33132031104 is a wasteful number, since it uses less digits than its factorization.

33132031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 33132031104 its reverse (40113023133), we get a palindrome (73245054237).

The spelling of 33132031104 in words is "thirty-three billion, one hundred thirty-two million, thirty-one thousand, one hundred four".