20110222120013 has 2 divisors, whose sum is σ = 20110222120014. Its totient is φ = 20110222120012.

The previous prime is 20110222119961. The next prime is 20110222120057. The reversal of 20110222120013 is 31002122201102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19549158202249 + 561063917764 = 4421443^2 + 749042^2 .

It is a cyclic number.

It is not a de Polignac number, because 20110222120013 - 2³⁴ = 20093042250829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20110222119973 and 20110222120000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20110222128013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10055111060006 + 10055111060007.

It is an arithmetic number, because the mean of its divisors is an integer number (10055111060007).

Almost surely, 2^{20110222120013} is an apocalyptic number.

It is an amenable number.

20110222120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20110222120013 is an equidigital number, since it uses as much as digits as its factorization.

20110222120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 20110222120013 its reverse (31002122201102), we get a palindrome (51112344321115).

The spelling of 20110222120013 in words is "twenty trillion, one hundred ten billion, two hundred twenty-two million, one hundred twenty thousand, thirteen".