130013130021001 has 2 divisors, whose sum is σ = 130013130021002. Its totient is φ = 130013130021000.

The previous prime is 130013130020999. The next prime is 130013130021007. The reversal of 130013130021001 is 100120031310031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97154554603401 + 32858575417600 = 9856701^2 + 5732240^2 .

It is a cyclic number.

It is not a de Polignac number, because 130013130021001 - 2¹ = 130013130020999 is a prime.

It is a super-2 number, since 2×130013130021001² (a number of 29 digits) contains 22 as substring.

Together with 130013130020999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (130013130021007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65006565010500 + 65006565010501.

It is an arithmetic number, because the mean of its divisors is an integer number (65006565010501).

Almost surely, 2^{130013130021001} is an apocalyptic number.

It is an amenable number.

130013130021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

130013130021001 is an equidigital number, since it uses as much as digits as its factorization.

130013130021001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 130013130021001 its reverse (100120031310031), we get a palindrome (230133161331032).

The spelling of 130013130021001 in words is "one hundred thirty trillion, thirteen billion, one hundred thirty million, twenty-one thousand, one".