42134132133 has 12 divisors (see below), whose sum is σ = 60862564620. Its totient is φ = 28088428416.

The previous prime is 42134132129. The next prime is 42134132149. The reversal of 42134132133 is 33123143124.

It is a happy number.

42134132133 is a `hidden beast` number, since 4 + 213 + 413 + 2 + 1 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11282263524 + 30851868609 = 106218^2 + 175647^2 .

It is not a de Polignac number, because 42134132133 - 2² = 42134132129 is a prime.

It is a super-2 number, since 2×42134132133² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42134132097 and 42134132106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42134132113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261235 + ... + 390527.

It is an arithmetic number, because the mean of its divisors is an integer number (5071880385).

Almost surely, 2^42134132133 is an apocalyptic number.

It is an amenable number.

42134132133 is a deficient number, since it is larger than the sum of its proper divisors (18728432487).

42134132133 is a wasteful number, since it uses less digits than its factorization.

42134132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165508 (or 165505 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 42134132133 its reverse (33123143124), we get a palindrome (75257275257).

The spelling of 42134132133 in words is "forty-two billion, one hundred thirty-four million, one hundred thirty-two thousand, one hundred thirty-three".