4042412311013 has 2 divisors, whose sum is σ = 4042412311014. Its totient is φ = 4042412311012.

The previous prime is 4042412310983. The next prime is 4042412311033. The reversal of 4042412311013 is 3101132142404.

4042412311013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3051736474084 + 990675836929 = 1746922^2 + 995327^2 .

It is a cyclic number.

It is not a de Polignac number, because 4042412311013 - 2³⁰ = 4041338569189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4042412311033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2021206155506 + 2021206155507.

It is an arithmetic number, because the mean of its divisors is an integer number (2021206155507).

Almost surely, 2^{4042412311013} is an apocalyptic number.

It is an amenable number.

4042412311013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4042412311013 is an equidigital number, since it uses as much as digits as its factorization.

4042412311013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 4042412311013 its reverse (3101132142404), we get a palindrome (7143544453417).

The spelling of 4042412311013 in words is "four trillion, forty-two billion, four hundred twelve million, three hundred eleven thousand, thirteen".