12100133130 has 64 divisors (see below), whose sum is σ = 30124362240. Its totient is φ = 3106865664.

The previous prime is 12100133119. The next prime is 12100133137. The reversal of 12100133130 is 3133100121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12100133137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300342 + ... + 338238.

It is an arithmetic number, because the mean of its divisors is an integer number (470693160).

Almost surely, 2^12100133130 is an apocalyptic number.

12100133130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15062181120).

12100133130 is an abundant number, since it is smaller than the sum of its proper divisors (18024229110).

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

12100133130 is a wasteful number, since it uses less digits than its factorization.

12100133130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38303.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 12100133130 its reverse (3133100121), we get a palindrome (15233233251).

The spelling of 12100133130 in words is "twelve billion, one hundred million, one hundred thirty-three thousand, one hundred thirty".