10021300013 has 2 divisors, whose sum is σ = 10021300014. Its totient is φ = 10021300012.

The previous prime is 10021299929. The next prime is 10021300019. The reversal of 10021300013 is 31000312001.

10021300013 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., 7191379204 + 2829920809 = 84802^2 + 53197^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021300013 - 2¹² = 10021295917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021299967 and 10021300003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021300019) 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, 5010650006 + 5010650007.

It is an arithmetic number, because the mean of its divisors is an integer number (5010650007).

Almost surely, 2^10021300013 is an apocalyptic number.

It is an amenable number.

10021300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021300013 is an equidigital number, since it uses as much as digits as its factorization.

10021300013 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.

Adding to 10021300013 its reverse (31000312001), we get a palindrome (41021612014).

The spelling of 10021300013 in words is "ten billion, twenty-one million, three hundred thousand, thirteen".