130001010100001 has 4 divisors (see below), whose sum is σ = 130056732781332. Its totient is φ = 129945287418672.

The previous prime is 130001010099971. The next prime is 130001010100007. The reversal of 130001010100001 is 100001010100031.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 46658735718400 + 83342274381601 = 6830720^2 + 9129199^2 .

It is a cyclic number.

It is not a de Polignac number, because 130001010100001 - 2²⁶ = 130000942991137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130001010100007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27861337166 + ... + 27861341831.

It is an arithmetic number, because the mean of its divisors is an integer number (32514183195333).

Almost surely, 2^{130001010100001} is an apocalyptic number.

It is an amenable number.

130001010100001 is a deficient number, since it is larger than the sum of its proper divisors (55722681331).

130001010100001 is an equidigital number, since it uses as much as digits as its factorization.

130001010100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55722681330.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 130001010100001 its reverse (100001010100031), we get a palindrome (230002020200032).

The spelling of 130001010100001 in words is "one hundred thirty trillion, one billion, ten million, one hundred thousand, one".