2122013122013 has 2 divisors, whose sum is σ = 2122013122014. Its totient is φ = 2122013122012.

The previous prime is 2122013121997. The next prime is 2122013122057. The reversal of 2122013122013 is 3102213102212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2015667346564 + 106345775449 = 1419742^2 + 326107^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122013122013 - 2⁴ = 2122013121997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122013142013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061006561006 + 1061006561007.

It is an arithmetic number, because the mean of its divisors is an integer number (1061006561007).

Almost surely, 2^{2122013122013} is an apocalyptic number.

It is an amenable number.

2122013122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122013122013 is an equidigital number, since it uses as much as digits as its factorization.

2122013122013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2122013122013 its reverse (3102213102212), we get a palindrome (5224226224225).

The spelling of 2122013122013 in words is "two trillion, one hundred twenty-two billion, thirteen million, one hundred twenty-two thousand, thirteen".