2001310013 has 2 divisors, whose sum is σ = 2001310014. Its totient is φ = 2001310012.

The previous prime is 2001309991. The next prime is 2001310019. The reversal of 2001310013 is 3100131002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1241646169 + 759663844 = 35237^2 + 27562^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001310013 - 2¹⁰ = 2001308989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001309976 and 2001310003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001310019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000655006 + 1000655007.

It is an arithmetic number, because the mean of its divisors is an integer number (1000655007).

Almost surely, 2^2001310013 is an apocalyptic number.

It is an amenable number.

2001310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001310013 is an equidigital number, since it uses as much as digits as its factorization.

2001310013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 2001310013 is about 44736.0035430077. The cubic root of 2001310013 is about 1260.1960753482.

Adding to 2001310013 its reverse (3100131002), we get a palindrome (5101441015).

The spelling of 2001310013 in words is "two billion, one million, three hundred ten thousand, thirteen".