20005000013 has 2 divisors, whose sum is σ = 20005000014. Its totient is φ = 20005000012.

The previous prime is 20004999997. The next prime is 20005000039. The reversal of 20005000013 is 31000050002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11096094244 + 8908905769 = 105338^2 + 94387^2 .

It is a cyclic number.

It is not a de Polignac number, because 20005000013 - 2⁴ = 20004999997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20004999958 and 20005000003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20005000063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10002500006 + 10002500007.

It is an arithmetic number, because the mean of its divisors is an integer number (10002500007).

Almost surely, 2^20005000013 is an apocalyptic number.

It is an amenable number.

20005000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20005000013 is an equidigital number, since it uses as much as digits as its factorization.

20005000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 11.

Adding to 20005000013 its reverse (31000050002), we get a palindrome (51005050015).

The spelling of 20005000013 in words is "twenty billion, five million, thirteen", and thus it is an aban number and an uban number.