130300591968 has 144 divisors (see below), whose sum is σ = 397714511376. Its totient is φ = 40318525440.

The previous prime is 130300591963. The next prime is 130300591997. The reversal of 130300591968 is 869195003031.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×130300591968² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130300591963) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 175123 + ... + 539693.

It is an arithmetic number, because the mean of its divisors is an integer number (2761906329).

Almost surely, 2^130300591968 is an apocalyptic number.

130300591968 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 130300591968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198857255688).

130300591968 is an abundant number, since it is smaller than the sum of its proper divisors (267413919408).

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

130300591968 is a wasteful number, since it uses less digits than its factorization.

130300591968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364677 (or 364666 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

Adding to 130300591968 its reverse (869195003031), we get a palindrome (999495594999).

The spelling of 130300591968 in words is "one hundred thirty billion, three hundred million, five hundred ninety-one thousand, nine hundred sixty-eight".