33112320100 has 36 divisors (see below), whose sum is σ = 71881000884. Its totient is φ = 13239902080.

The previous prime is 33112320049. The next prime is 33112320113. The reversal of 33112320100 is 102321133.

It can be written as a sum of positive squares in 6 ways, for example, as 388957284 + 32723362816 = 19722^2 + 180896^2 .

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 11 ways as a sum of consecutive naturals, for example, 207822 + ... + 330778.

It is an arithmetic number, because the mean of its divisors is an integer number (1996694469).

Almost surely, 2^33112320100 is an apocalyptic number.

It is an amenable number.

33112320100 is an abundant number, since it is smaller than the sum of its proper divisors (38768680784).

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

33112320100 is a wasteful number, since it uses less digits than its factorization.

33112320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125664 (or 125657 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 33112320100 its reverse (102321133), we get a palindrome (33214641233).

The spelling of 33112320100 in words is "thirty-three billion, one hundred twelve million, three hundred twenty thousand, one hundred".