20001000013 has 2 divisors, whose sum is σ = 20001000014. Its totient is φ = 20001000012.

The previous prime is 20001000001. The next prime is 20001000049. The reversal of 20001000013 is 31000010002.

20001000013 = 100002² + 100003².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10000600009 + 10000400004 = 100003^2 + 100002^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001000013 - 2⁵ = 20000999981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20001000073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000500006 + 10000500007.

It is an arithmetic number, because the mean of its divisors is an integer number (10000500007).

Almost surely, 2^20001000013 is an apocalyptic number.

20001000013 is the 100003-rd centered square number.

It is an amenable number.

20001000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20001000013 is an equidigital number, since it uses as much as digits as its factorization.

20001000013 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.

Adding to 20001000013 its reverse (31000010002), we get a palindrome (51001010015).

The spelling of 20001000013 in words is "twenty billion, one million, thirteen", and thus it is an aban number and an uban number.