10010020102013 has 2 divisors, whose sum is σ = 10010020102014. Its totient is φ = 10010020102012.

The previous prime is 10010020102003. The next prime is 10010020102039. The reversal of 10010020102013 is 31020102001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9757988993284 + 252031108729 = 3123778^2 + 502027^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010020102013 - 2¹⁰ = 10010020100989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010020101985 and 10010020102003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010020102003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005010051006 + 5005010051007.

It is an arithmetic number, because the mean of its divisors is an integer number (5005010051007).

Almost surely, 2^{10010020102013} is an apocalyptic number.

It is an amenable number.

10010020102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010020102013 is an equidigital number, since it uses as much as digits as its factorization.

10010020102013 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10010020102013 its reverse (31020102001001), we get a palindrome (41030122103014).

The spelling of 10010020102013 in words is "ten trillion, ten billion, twenty million, one hundred two thousand, thirteen".