12131132310100 has 144 divisors (see below), whose sum is σ = 27904114022400. Its totient is φ = 4564973099520.

The previous prime is 12131132309977. The next prime is 12131132310109. The reversal of 12131132310100 is 101323113121.

It is a super-2 number, since 2×12131132310100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131132310109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166606902 + ... + 166679698.

It is an arithmetic number, because the mean of its divisors is an integer number (193778569600).

Almost surely, 2^{12131132310100} is an apocalyptic number.

12131132310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131132310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13952057011200).

12131132310100 is an abundant number, since it is smaller than the sum of its proper divisors (15772981712300).

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

12131132310100 is a wasteful number, since it uses less digits than its factorization.

12131132310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73442 (or 73435 counting only the distinct ones).

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

Adding to 12131132310100 its reverse (101323113121), we get a palindrome (12232455423221).

The spelling of 12131132310100 in words is "twelve trillion, one hundred thirty-one billion, one hundred thirty-two million, three hundred ten thousand, one hundred".