20101220112013 has 2 divisors, whose sum is σ = 20101220112014. Its totient is φ = 20101220112012.

The previous prime is 20101220112011. The next prime is 20101220112023. The reversal of 20101220112013 is 31021102210102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20067156611044 + 34063500969 = 4479638^2 + 184563^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101220112013 - 2¹ = 20101220112011 is a prime.

Together with 20101220112011, 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 (20101220112011) 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, 10050610056006 + 10050610056007.

It is an arithmetic number, because the mean of its divisors is an integer number (10050610056007).

Almost surely, 2^{20101220112013} is an apocalyptic number.

It is an amenable number.

20101220112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101220112013 is an equidigital number, since it uses as much as digits as its factorization.

20101220112013 is an odious number, because the sum of its binary digits is odd.

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

Adding to 20101220112013 its reverse (31021102210102), we get a palindrome (51122322322115).

The spelling of 20101220112013 in words is "twenty trillion, one hundred one billion, two hundred twenty million, one hundred twelve thousand, thirteen".