33132112100 has 18 divisors (see below), whose sum is σ = 71896683474. Its totient is φ = 13252844800.

The previous prime is 33132112063. The next prime is 33132112109. The reversal of 33132112100 is 121123133.

It can be written as a sum of positive squares in 3 ways, for example, as 2238425344 + 30893686756 = 47312^2 + 175766^2 .

It is not an unprimeable number, because it can be changed into a prime (33132112109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 165660461 + ... + 165660660.

It is an arithmetic number, because the mean of its divisors is an integer number (3994260193).

Almost surely, 2^33132112100 is an apocalyptic number.

It is an amenable number.

33132112100 is an abundant number, since it is smaller than the sum of its proper divisors (38764571374).

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

33132112100 is a wasteful number, since it uses less digits than its factorization.

33132112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331321135 (or 331321128 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 33132112100 its reverse (121123133), we get a palindrome (33253235233).

The spelling of 33132112100 in words is "thirty-three billion, one hundred thirty-two million, one hundred twelve thousand, one hundred".