12131233131000 has 128 divisors (see below), whose sum is σ = 39070397583360. Its totient is φ = 3130640784000.

The previous prime is 12131233130927. The next prime is 12131233131001. The reversal of 12131233131000 is 13133213121.

It is a happy number.

12131233131000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12131233131000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131233131001) 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, 65128684 + ... + 65314683.

It is an arithmetic number, because the mean of its divisors is an integer number (305237481120).

Almost surely, 2^{12131233131000} is an apocalyptic number.

12131233131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131233131000 is an abundant number, since it is smaller than the sum of its proper divisors (26939164452360).

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

12131233131000 is a wasteful number, since it uses less digits than its factorization.

12131233131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130443422 (or 130443408 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12131233131000 its reverse (13133213121), we get a palindrome (12144366344121).

The spelling of 12131233131000 in words is "twelve trillion, one hundred thirty-one billion, two hundred thirty-three million, one hundred thirty-one thousand".