4142202013 has 2 divisors, whose sum is σ = 4142202014. Its totient is φ = 4142202012.

The previous prime is 4142202007. The next prime is 4142202017. The reversal of 4142202013 is 3102022414.

4142202013 is digitally balanced in base 3, 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., 2152774404 + 1989427609 = 46398^2 + 44603^2 .

It is a cyclic number.

It is not a de Polignac number, because 4142202013 - 2²¹ = 4140104861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4142202017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2071101006 + 2071101007.

It is an arithmetic number, because the mean of its divisors is an integer number (2071101007).

Almost surely, 2^4142202013 is an apocalyptic number.

It is an amenable number.

4142202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4142202013 is an equidigital number, since it uses as much as digits as its factorization.

4142202013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4142202013 is about 64359.9410580836. The cubic root of 4142202013 is about 1605.9934084862.

Adding to 4142202013 its reverse (3102022414), we get a palindrome (7244224427).

The spelling of 4142202013 in words is "four billion, one hundred forty-two million, two hundred two thousand, thirteen".