131881139712 has 640 divisors, whose sum is σ = 461593313280. Its totient is φ = 36399144960.

The previous prime is 131881139657. The next prime is 131881139729. The reversal of 131881139712 is 217931188131.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486646137 + ... + 486646407.

It is an arithmetic number, because the mean of its divisors is an integer number (721239552).

Almost surely, 2^131881139712 is an apocalyptic number.

131881139712 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 131881139712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230796656640).

131881139712 is an abundant number, since it is smaller than the sum of its proper divisors (329712173568).

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

131881139712 is a wasteful number, since it uses less digits than its factorization.

131881139712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 437 counting only the distinct ones).

The product of its digits is 72576, while the sum is 45.

The spelling of 131881139712 in words is "one hundred thirty-one billion, eight hundred eighty-one million, one hundred thirty-nine thousand, seven hundred twelve".