20110021122013 has 2 divisors, whose sum is σ = 20110021122014. Its totient is φ = 20110021122012.

The previous prime is 20110021122011. The next prime is 20110021122109. The reversal of 20110021122013 is 31022112001102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16733769220249 + 3376251901764 = 4090693^2 + 1837458^2 .

It is a cyclic number.

It is not a de Polignac number, because 20110021122013 - 2¹ = 20110021122011 is a prime.

Together with 20110021122011, 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 (20110021122011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10055010561006 + 10055010561007.

It is an arithmetic number, because the mean of its divisors is an integer number (10055010561007).

Almost surely, 2^{20110021122013} is an apocalyptic number.

It is an amenable number.

20110021122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20110021122013 is an equidigital number, since it uses as much as digits as its factorization.

20110021122013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 20110021122013 its reverse (31022112001102), we get a palindrome (51132133123115).

The spelling of 20110021122013 in words is "twenty trillion, one hundred ten billion, twenty-one million, one hundred twenty-two thousand, thirteen".