130959710316288 has 2304 divisors, whose sum is σ = 482864094720000. Its totient is φ = 34937254969344.

The previous prime is 130959710316251. The next prime is 130959710316289. The reversal of 130959710316288 is 882613017959031.

130959710316288 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 597 + 1 + 0 + 3 + 16 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×130959710316288³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130959710316289) 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 255 ways as a sum of consecutive naturals, for example, 302447367720 + ... + 302447368152.

It is an arithmetic number, because the mean of its divisors is an integer number (209576430000).

Almost surely, 2^{130959710316288} is an apocalyptic number.

130959710316288 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 130959710316288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241432047360000).

130959710316288 is an abundant number, since it is smaller than the sum of its proper divisors (351904384403712).

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

130959710316288 is an equidigital number, since it uses as much as digits as its factorization.

130959710316288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 130959710316288 in words is "one hundred thirty trillion, nine hundred fifty-nine billion, seven hundred ten million, three hundred sixteen thousand, two hundred eighty-eight".