4042133210013 has 16 divisors (see below), whose sum is σ = 5408230809600. Its totient is φ = 2685407647664.

The previous prime is 4042133209973. The next prime is 4042133210029. The reversal of 4042133210013 is 3100123312404.

It is a happy number.

4042133210013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4042133210013 - 2⁶ = 4042133209949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042133210053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176163 + ... + 2848736.

It is an arithmetic number, because the mean of its divisors is an integer number (338014425600).

Almost surely, 2^{4042133210013} is an apocalyptic number.

It is an amenable number.

4042133210013 is a deficient number, since it is larger than the sum of its proper divisors (1366097599587).

4042133210013 is a wasteful number, since it uses less digits than its factorization.

4042133210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026448.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4042133210013 its reverse (3100123312404), we get a palindrome (7142256522417).

The spelling of 4042133210013 in words is "four trillion, forty-two billion, one hundred thirty-three million, two hundred ten thousand, thirteen".