20101220122013 has 2 divisors, whose sum is σ = 20101220122014. Its totient is φ = 20101220122012.

The previous prime is 20101220122007. The next prime is 20101220122091. The reversal of 20101220122013 is 31022102210102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15547272658009 + 4553947464004 = 3943003^2 + 2133998^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101220122013 - 2³⁰ = 20100146380189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20101220121982 and 20101220122000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20101220122913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050610061006 + 10050610061007.

It is an arithmetic number, because the mean of its divisors is an integer number (10050610061007).

Almost surely, 2^{20101220122013} is an apocalyptic number.

It is an amenable number.

20101220122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101220122013 is an equidigital number, since it uses as much as digits as its factorization.

20101220122013 is an evil number, because the sum of its binary digits is even.

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

Adding to 20101220122013 its reverse (31022102210102), we get a palindrome (51123322332115).

The spelling of 20101220122013 in words is "twenty trillion, one hundred one billion, two hundred twenty million, one hundred twenty-two thousand, thirteen".