2001130013 has 2 divisors, whose sum is σ = 2001130014. Its totient is φ = 2001130012.

The previous prime is 2001129929. The next prime is 2001130039. The reversal of 2001130013 is 3100311002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1834151929 + 166978084 = 42827^2 + 12922^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001130013 - 2¹⁰ = 2001128989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001129976 and 2001130003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001130213) 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, 1000565006 + 1000565007.

It is an arithmetic number, because the mean of its divisors is an integer number (1000565007).

Almost surely, 2^2001130013 is an apocalyptic number.

It is an amenable number.

2001130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001130013 is an equidigital number, since it uses as much as digits as its factorization.

2001130013 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 2001130013 is about 44733.9916953540. The cubic root of 2001130013 is about 1260.1582930801.

Adding to 2001130013 its reverse (3100311002), we get a palindrome (5101441015).

The spelling of 2001130013 in words is "two billion, one million, one hundred thirty thousand, thirteen".