20010200100013 has 2 divisors, whose sum is σ = 20010200100014. Its totient is φ = 20010200100012.

The previous prime is 20010200099987. The next prime is 20010200100047. The reversal of 20010200100013 is 31000100201002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10972643000004 + 9037557100009 = 3312498^2 + 3006253^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20010200100013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20010200100073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10005100050006 + 10005100050007.

It is an arithmetic number, because the mean of its divisors is an integer number (10005100050007).

Almost surely, 2^{20010200100013} is an apocalyptic number.

It is an amenable number.

20010200100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20010200100013 is an equidigital number, since it uses as much as digits as its factorization.

20010200100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 20010200100013 its reverse (31000100201002), we get a palindrome (51010300301015).

The spelling of 20010200100013 in words is "twenty trillion, ten billion, two hundred million, one hundred thousand, thirteen".