131327241840000 has 2560 divisors, whose sum is σ = 525295051776000. Its totient is φ = 32194990080000.

The previous prime is 131327241839953. The next prime is 131327241840013. The reversal of 131327241840000 is 48142723131.

131327241840000 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 7 + 241 + 8 + 400 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 414281519842 + ... + 414281520158.

It is an arithmetic number, because the mean of its divisors is an integer number (205193379600).

Almost surely, 2^{131327241840000} is an apocalyptic number.

131327241840000 is a gapful number since it is divisible by the number (10) 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 131327241840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262647525888000).

131327241840000 is an abundant number, since it is smaller than the sum of its proper divisors (393967809936000).

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

131327241840000 is a wasteful number, since it uses less digits than its factorization.

131327241840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 131327241840000 in words is "one hundred thirty-one trillion, three hundred twenty-seven billion, two hundred forty-one million, eight hundred forty thousand".