130004181964801 has 8 divisors (see below), whose sum is σ = 132778121382144. Its totient is φ = 127230571422240.

The previous prime is 130004181964757. The next prime is 130004181964829. The reversal of 130004181964801 is 108469181400031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 130004181964801 - 2⁹ = 130004181964289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130004181934801) 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 7 ways as a sum of consecutive naturals, for example, 81419580 + ... + 83000941.

It is an arithmetic number, because the mean of its divisors is an integer number (16597265172768).

Almost surely, 2^{130004181964801} is an apocalyptic number.

It is an amenable number.

130004181964801 is a deficient number, since it is larger than the sum of its proper divisors (2773939417343).

130004181964801 is a wasteful number, since it uses less digits than its factorization.

130004181964801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164437391.

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 130004181964801 in words is "one hundred thirty trillion, four billion, one hundred eighty-one million, nine hundred sixty-four thousand, eight hundred one".