10020013 has 2 divisors, whose sum is σ = 10020014. Its totient is φ = 10020012.

The previous prime is 10019983. The next prime is 10020041. The reversal of 10020013 is 31002001.

10020013 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., 6985449 + 3034564 = 2643^2 + 1742^2 .

It is an emirp because it is prime and its reverse (31002001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10020013 - 2⁹ = 10019501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10019978 and 10020005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10020313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010006 + 5010007.

It is an arithmetic number, because the mean of its divisors is an integer number (5010007).

Almost surely, 2^10020013 is an apocalyptic number.

It is an amenable number.

10020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020013 is an equidigital number, since it uses as much as digits as its factorization.

10020013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 10020013 is about 3165.4404116963. The cubic root of 10020013 is about 215.5870955706.

Adding to 10020013 its reverse (31002001), we get a palindrome (41022014).

It can be divided in two parts, 1002001 and 3, that multiplied together give a palindrome (3006003).

The spelling of 10020013 in words is "ten million, twenty thousand, thirteen".