131161710516480 has 4608 divisors, whose sum is σ = 599145652224000. Its totient is φ = 26504071741440.

The previous prime is 131161710516479. The next prime is 131161710516481. The reversal of 131161710516480 is 84615017161131.

131161710516480 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 61 + 7 + 105 + 1 + 6 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (131161710516479) and next prime (131161710516481).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (131161710516481) 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 511 ways as a sum of consecutive naturals, for example, 487590001786 + ... + 487590002054.

It is an arithmetic number, because the mean of its divisors is an integer number (130022928000).

Almost surely, 2^{131161710516480} is an apocalyptic number.

131161710516480 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 131161710516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299572826112000).

131161710516480 is an abundant number, since it is smaller than the sum of its proper divisors (467983941707520).

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

131161710516480 is a wasteful number, since it uses less digits than its factorization.

131161710516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 131161710516480 in words is "one hundred thirty-one trillion, one hundred sixty-one billion, seven hundred ten million, five hundred sixteen thousand, four hundred eighty".