42134234013 has 6 divisors (see below), whose sum is σ = 60860560254. Its totient is φ = 28089489336.

The previous prime is 42134233943. The next prime is 42134234017. The reversal of 42134234013 is 31043243124.

42134234013 is a `hidden beast` number, since 4 + 213 + 42 + 3 + 401 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33787218969 + 8347015044 = 183813^2 + 91362^2 .

It is not a de Polignac number, because 42134234013 - 2¹⁰ = 42134232989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42134234017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2340790770 + ... + 2340790787.

It is an arithmetic number, because the mean of its divisors is an integer number (10143426709).

Almost surely, 2^42134234013 is an apocalyptic number.

It is an amenable number.

42134234013 is a deficient number, since it is larger than the sum of its proper divisors (18726326241).

42134234013 is a wasteful number, since it uses less digits than its factorization.

42134234013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4681581563 (or 4681581560 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 42134234013 its reverse (31043243124), we get a palindrome (73177477137).

The spelling of 42134234013 in words is "forty-two billion, one hundred thirty-four million, two hundred thirty-four thousand, thirteen".