1001001220013 has 2 divisors, whose sum is σ = 1001001220014. Its totient is φ = 1001001220012.

The previous prime is 1001001219929. The next prime is 1001001220027. The reversal of 1001001220013 is 3100221001001.

1001001220013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 871276630084 + 129724589929 = 933422^2 + 360173^2 .

It is an emirp because it is prime and its reverse (3100221001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001001220013 - 2²⁴ = 1000984442797 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001001219976 and 1001001220003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001001220213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500610006 + 500500610007.

It is an arithmetic number, because the mean of its divisors is an integer number (500500610007).

Almost surely, 2^{1001001220013} is an apocalyptic number.

It is an amenable number.

1001001220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001001220013 is an equidigital number, since it uses as much as digits as its factorization.

1001001220013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1001001220013 its reverse (3100221001001), we get a palindrome (4101222221014).

The spelling of 1001001220013 in words is "one trillion, one billion, one million, two hundred twenty thousand, thirteen".