42135104133 has 12 divisors (see below), whose sum is σ = 60863895820. Its totient is φ = 28089110016.

The previous prime is 42135104093. The next prime is 42135104153. The reversal of 42135104133 is 33140153124.

It is a happy number.

42135104133 is a `hidden beast` number, since 4 + 2 + 13 + 510 + 4 + 133 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36319974084 + 5815130049 = 190578^2 + 76257^2 .

It is not a de Polignac number, because 42135104133 - 2¹² = 42135100037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42135104097 and 42135104106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42135104153) 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 11 ways as a sum of consecutive naturals, for example, 286683 + ... + 407991.

Almost surely, 2^42135104133 is an apocalyptic number.

It is an amenable number.

42135104133 is a deficient number, since it is larger than the sum of its proper divisors (18728791687).

42135104133 is a wasteful number, since it uses less digits than its factorization.

42135104133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159908 (or 159905 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 42135104133 its reverse (33140153124), we get a palindrome (75275257257).

The spelling of 42135104133 in words is "forty-two billion, one hundred thirty-five million, one hundred four thousand, one hundred thirty-three".