2042413013 has 2 divisors, whose sum is σ = 2042413014. Its totient is φ = 2042413012.

The previous prime is 2042413001. The next prime is 2042413057. The reversal of 2042413013 is 3103142402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1892424004 + 149989009 = 43502^2 + 12247^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042413013 - 2¹⁶ = 2042347477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2042413313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1021206506 + 1021206507.

It is an arithmetic number, because the mean of its divisors is an integer number (1021206507).

Almost surely, 2^2042413013 is an apocalyptic number.

It is an amenable number.

2042413013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042413013 is an equidigital number, since it uses as much as digits as its factorization.

2042413013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2042413013 is about 45193.0637708930. The cubic root of 2042413013 is about 1268.7649996431.

Adding to 2042413013 its reverse (3103142402), we get a palindrome (5145555415).

The spelling of 2042413013 in words is "two billion, forty-two million, four hundred thirteen thousand, thirteen".