12133013003100 has 216 divisors, whose sum is σ = 41868174588240. Its totient is φ = 2914351488000.

The previous prime is 12133013003081. The next prime is 12133013003107. The reversal of 12133013003100 is 130031033121.

It is a happy number.

12133013003100 is a `hidden beast` number, since 1 + 2 + 1 + 330 + 1 + 300 + 31 + 0 + 0 = 666.

It is a super-2 number, since 2×12133013003100² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133013003107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4542721 + ... + 6700920.

Almost surely, 2^{12133013003100} is an apocalyptic number.

12133013003100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133013003100 is an abundant number, since it is smaller than the sum of its proper divisors (29735161585140).

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

12133013003100 is a wasteful number, since it uses less digits than its factorization.

12133013003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11243781 (or 11243771 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12133013003100 its reverse (130031033121), we get a palindrome (12263044036221).

The spelling of 12133013003100 in words is "twelve trillion, one hundred thirty-three billion, thirteen million, three thousand, one hundred".