130100100111001 has 8 divisors (see below), whose sum is σ = 138100032189000. Its totient is φ = 122138721923328.

The previous prime is 130100100110993. The next prime is 130100100111029. The reversal of 130100100111001 is 100111001001031.

It can be written as a sum of positive squares in 4 ways, for example, as 26377057939600 + 103723042171401 = 5135860^2 + 10184451^2 .

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 130100100111001 - 2³ = 130100100110993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130100100111031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9638465626 + ... + 9638479123.

It is an arithmetic number, because the mean of its divisors is an integer number (17262504023625).

Almost surely, 2^{130100100111001} is an apocalyptic number.

It is an amenable number.

130100100111001 is a deficient number, since it is larger than the sum of its proper divisors (7999932077999).

130100100111001 is a wasteful number, since it uses less digits than its factorization.

130100100111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19276945163.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 130100100111001 its reverse (100111001001031), we get a palindrome (230211101112032).

The spelling of 130100100111001 in words is "one hundred thirty trillion, one hundred billion, one hundred million, one hundred eleven thousand, one".