131342222433312 has 216 divisors, whose sum is σ = 428396045942592. Its totient is φ = 38070209168640.

The previous prime is 131342222433251. The next prime is 131342222433319. The reversal of 131342222433312 is 213334222243131.

It is a happy number.

131342222433312 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 422 + 224 + 3 + 3 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131342222433319) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 81133348 + ... + 82736355.

It is an arithmetic number, because the mean of its divisors is an integer number (1983315027512).

Almost surely, 2^{131342222433312} is an apocalyptic number.

131342222433312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131342222433312 is an abundant number, since it is smaller than the sum of its proper divisors (297053823509280).

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

131342222433312 is a wasteful number, since it uses less digits than its factorization.

131342222433312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163869764 (or 163869742 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 131342222433312 its reverse (213334222243131), we get a palindrome (344676444676443).

The spelling of 131342222433312 in words is "one hundred thirty-one trillion, three hundred forty-two billion, two hundred twenty-two million, four hundred thirty-three thousand, three hundred twelve".