2123122013 has 2 divisors, whose sum is σ = 2123122014. Its totient is φ = 2123122012.

The previous prime is 2123121953. The next prime is 2123122069. The reversal of 2123122013 is 3102213212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1210900804 + 912221209 = 34798^2 + 30203^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123122013 - 2¹⁴ = 2123105629 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2123121982 and 2123122000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2123124013) 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, 1061561006 + 1061561007.

It is an arithmetic number, because the mean of its divisors is an integer number (1061561007).

Almost surely, 2^2123122013 is an apocalyptic number.

It is an amenable number.

2123122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123122013 is an equidigital number, since it uses as much as digits as its factorization.

2123122013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2123122013 is about 46077.3481550317. The cubic root of 2123122013 is about 1285.2619516737.

Adding to 2123122013 its reverse (3102213212), we get a palindrome (5225335225).

The spelling of 2123122013 in words is "two billion, one hundred twenty-three million, one hundred twenty-two thousand, thirteen".