131251341312 has 576 divisors, whose sum is σ = 494109383040. Its totient is φ = 32572440576.

The previous prime is 131251341269. The next prime is 131251341323. The reversal of 131251341312 is 213143152131.

131251341312 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 5 + 1 + 341 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28512003 + ... + 28516605.

It is an arithmetic number, because the mean of its divisors is an integer number (857828790).

Almost surely, 2^131251341312 is an apocalyptic number.

131251341312 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 131251341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247054691520).

131251341312 is an abundant number, since it is smaller than the sum of its proper divisors (362858041728).

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

131251341312 is a wasteful number, since it uses less digits than its factorization.

131251341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668 (or 4645 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

Adding to 131251341312 its reverse (213143152131), we get a palindrome (344394493443).

The spelling of 131251341312 in words is "one hundred thirty-one billion, two hundred fifty-one million, three hundred forty-one thousand, three hundred twelve".