130071265004641 has 27 divisors (see below), whose sum is σ = 133866868744497. Its totient is φ = 126382026150600.

The previous prime is 130071265004617. The next prime is 130071265004657. The reversal of 130071265004641 is 146400562170031.

The square root of 130071265004641 is 11404879.

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

It is not a de Polignac number, because 130071265004641 - 2⁹ = 130071265004129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130071265004594 and 130071265004603.

It is not an unprimeable number, because it can be changed into a prime (130071265004441) 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 26 ways as a sum of consecutive naturals, for example, 80940425460 + ... + 80940427066.

Almost surely, 2^{130071265004641} is an apocalyptic number.

130071265004641 is the 11404879-th square number.

130071265004641 is the 5702440-th centered octagonal number.

It is an amenable number.

130071265004641 is a deficient number, since it is larger than the sum of its proper divisors (3795603739856).

130071265004641 is an frugal number, since it uses more digits than its factorization.

130071265004641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 130071265004641 in words is "one hundred thirty trillion, seventy-one billion, two hundred sixty-five million, four thousand, six hundred forty-one".