20013122202113 has 2 divisors, whose sum is σ = 20013122202114. Its totient is φ = 20013122202112.

The previous prime is 20013122202077. The next prime is 20013122202131. The reversal of 20013122202113 is 31120222131002.

Together with next prime (20013122202131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16693500149824 + 3319622052289 = 4085768^2 + 1821983^2 .

It is a cyclic number.

It is not a de Polignac number, because 20013122202113 - 2³⁰ = 20012048460289 is a prime.

It is not a weakly prime, because it can be changed into another prime (20013122202163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10006561101056 + 10006561101057.

It is an arithmetic number, because the mean of its divisors is an integer number (10006561101057).

Almost surely, 2^{20013122202113} is an apocalyptic number.

It is an amenable number.

20013122202113 is a deficient number, since it is larger than the sum of its proper divisors (1).

20013122202113 is an equidigital number, since it uses as much as digits as its factorization.

20013122202113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 20013122202113 its reverse (31120222131002), we get a palindrome (51133344333115).

The spelling of 20013122202113 in words is "twenty trillion, thirteen billion, one hundred twenty-two million, two hundred two thousand, one hundred thirteen".