4042124304133 has 16 divisors (see below), whose sum is σ = 4086600750000. Its totient is φ = 3997808123904.

The previous prime is 4042124304047. The next prime is 4042124304137. The reversal of 4042124304133 is 3314034212404.

It can be written as a sum of positive squares in 8 ways, for example, as 1673486338689 + 2368637965444 = 1293633^2 + 1539038^2 .

It is a cyclic number.

It is not a de Polignac number, because 4042124304133 - 2³⁷ = 3904685350661 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4042124304095 and 4042124304104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042124304137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129336493 + ... + 129367741.

It is an arithmetic number, because the mean of its divisors is an integer number (255412546875).

Almost surely, 2^{4042124304133} is an apocalyptic number.

It is an amenable number.

4042124304133 is a deficient number, since it is larger than the sum of its proper divisors (44476445867).

4042124304133 is a wasteful number, since it uses less digits than its factorization.

4042124304133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33768.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 4042124304133 its reverse (3314034212404), we get a palindrome (7356158516537).

The spelling of 4042124304133 in words is "four trillion, forty-two billion, one hundred twenty-four million, three hundred four thousand, one hundred thirty-three".