130131413142312 has 128 divisors (see below), whose sum is σ = 331471346976000. Its totient is φ = 42561611274240.

The previous prime is 130131413142299. The next prime is 130131413142371. The reversal of 130131413142312 is 213241314131031.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 130131413142312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4838844738 + ... + 4838871630.

It is an arithmetic number, because the mean of its divisors is an integer number (2589619898250).

Almost surely, 2^{130131413142312} is an apocalyptic number.

130131413142312 is a gapful number since it is divisible by the number (12) 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 130131413142312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165735673488000).

130131413142312 is an abundant number, since it is smaller than the sum of its proper divisors (201339933833688).

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

130131413142312 is a wasteful number, since it uses less digits than its factorization.

130131413142312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34931 (or 34927 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 130131413142312 its reverse (213241314131031), we get a palindrome (343372727273343).

The spelling of 130131413142312 in words is "one hundred thirty trillion, one hundred thirty-one billion, four hundred thirteen million, one hundred forty-two thousand, three hundred twelve".