130343382961 has 27 divisors (see below), whose sum is σ = 149874989593. Its totient is φ = 113262645320.

The previous prime is 130343382937. The next prime is 130343382997. The reversal of 130343382961 is 169283343031.

It is a happy number.

The square root of 130343382961 is 361031.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 130343382961 - 2⁷ = 130343382833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130343385961) 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 26 ways as a sum of consecutive naturals, for example, 91340130 + ... + 91341556.

Almost surely, 2^130343382961 is an apocalyptic number.

130343382961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130343382961 is the 361031-st square number.

130343382961 is the 180516-th centered octagonal number.

It is an amenable number.

130343382961 is a deficient number, since it is larger than the sum of its proper divisors (19531606632).

130343382961 is an frugal number, since it uses more digits than its factorization.

130343382961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The spelling of 130343382961 in words is "one hundred thirty billion, three hundred forty-three million, three hundred eighty-two thousand, nine hundred sixty-one".