20201000010013 has 2 divisors, whose sum is σ = 20201000010014. Its totient is φ = 20201000010012.

The previous prime is 20201000010011. The next prime is 20201000010043. The reversal of 20201000010013 is 31001000010202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18549577114084 + 1651422895929 = 4306922^2 + 1285077^2 .

It is a cyclic number.

It is not a de Polignac number, because 20201000010013 - 2¹ = 20201000010011 is a prime.

It is a super-2 number, since 2×20201000010013² (a number of 27 digits) contains 22 as substring.

Together with 20201000010011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20201000010011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10100500005006 + 10100500005007.

It is an arithmetic number, because the mean of its divisors is an integer number (10100500005007).

Almost surely, 2^{20201000010013} is an apocalyptic number.

It is an amenable number.

20201000010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20201000010013 is an equidigital number, since it uses as much as digits as its factorization.

20201000010013 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 20201000010013 its reverse (31001000010202), we get a palindrome (51202000020215).

The spelling of 20201000010013 in words is "twenty trillion, two hundred one billion, ten thousand, thirteen".