12033131012100 has 108 divisors (see below), whose sum is σ = 41146015288560. Its totient is φ = 2917122667200.

The previous prime is 12033131012099. The next prime is 12033131012113. The reversal of 12033131012100 is 121013133021.

12033131012100 is a `hidden beast` number, since 1 + 2 + 0 + 331 + 310 + 1 + 21 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 607723990 + ... + 607743789.

Almost surely, 2^{12033131012100} is an apocalyptic number.

12033131012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12033131012100 is an abundant number, since it is smaller than the sum of its proper divisors (29112884276460).

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

12033131012100 is a wasteful number, since it uses less digits than its factorization.

12033131012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215467810 (or 1215467800 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12033131012100 its reverse (121013133021), we get a palindrome (12154144145121).

The spelling of 12033131012100 in words is "twelve trillion, thirty-three billion, one hundred thirty-one million, twelve thousand, one hundred".