131320173659688 has 640 divisors, whose sum is σ = 420393838233600. Its totient is φ = 37965290955264.

The previous prime is 131320173659677. The next prime is 131320173659743. The reversal of 131320173659688 is 886956371023131.

131320173659688 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 0 + 1 + 7 + 36 + 596 + 8 + 8 = 666.

It is a super-2 number, since 2×131320173659688² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13122826381 + ... + 13122836387.

It is an arithmetic number, because the mean of its divisors is an integer number (656865372240).

Almost surely, 2^{131320173659688} is an apocalyptic number.

131320173659688 is a gapful number since it is divisible by the number (18) 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 131320173659688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210196919116800).

131320173659688 is an abundant number, since it is smaller than the sum of its proper divisors (289073664573912).

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

131320173659688 is a wasteful number, since it uses less digits than its factorization.

131320173659688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10723 (or 10710 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 131320173659688 in words is "one hundred thirty-one trillion, three hundred twenty billion, one hundred seventy-three million, six hundred fifty-nine thousand, six hundred eighty-eight".