12133131120100 has 72 divisors (see below), whose sum is σ = 27878394059208. Its totient is φ = 4567645593600.

The previous prime is 12133131120029. The next prime is 12133131120101. The reversal of 12133131120100 is 102113133121.

It can be written as a sum of positive squares in 12 ways, for example, as 8682074399296 + 3451056720804 = 2946536^2 + 1857702^2 .

It is not an unprimeable number, because it can be changed into a prime (12133131120101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87856704 + ... + 87994696.

It is an arithmetic number, because the mean of its divisors is an integer number (387199917489).

Almost surely, 2^{12133131120100} is an apocalyptic number.

12133131120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133131120100 is an abundant number, since it is smaller than the sum of its proper divisors (15745262939108).

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

12133131120100 is a wasteful number, since it uses less digits than its factorization.

12133131120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189745 (or 189738 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 12133131120100 its reverse (102113133121), we get a palindrome (12235244253221).

The spelling of 12133131120100 in words is "twelve trillion, one hundred thirty-three billion, one hundred thirty-one million, one hundred twenty thousand, one hundred".