4242133404113 has 48 divisors (see below), whose sum is σ = 4805792208000. Its totient is φ = 3739448275200.

The previous prime is 4242133404107. The next prime is 4242133404137. The reversal of 4242133404113 is 3114043312424.

It is not a de Polignac number, because 4242133404113 - 2⁸ = 4242133403857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4242133404113.

It is not an unprimeable number, because it can be changed into a prime (4242133404413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1242932195 + ... + 1242935607.

It is an arithmetic number, because the mean of its divisors is an integer number (100120671000).

Almost surely, 2^{4242133404113} is an apocalyptic number.

It is an amenable number.

4242133404113 is a deficient number, since it is larger than the sum of its proper divisors (563658803887).

4242133404113 is a wasteful number, since it uses less digits than its factorization.

4242133404113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934 (or 4923 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 4242133404113 its reverse (3114043312424), we get a palindrome (7356176716537).

The spelling of 4242133404113 in words is "four trillion, two hundred forty-two billion, one hundred thirty-three million, four hundred four thousand, one hundred thirteen".