42133106334125 has 32 divisors (see below), whose sum is σ = 54763864646400. Its totient is φ = 32333590296000.

The previous prime is 42133106334103. The next prime is 42133106334131. The reversal of 42133106334125 is 52143360133124.

It is not a de Polignac number, because 42133106334125 - 2²⁶ = 42133039225261 is a prime.

It is a super-3 number, since 3×42133106334125³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63825575 + ... + 64482324.

It is an arithmetic number, because the mean of its divisors is an integer number (1711370770200).

Almost surely, 2^{42133106334125} is an apocalyptic number.

It is an amenable number.

42133106334125 is a deficient number, since it is larger than the sum of its proper divisors (12630758312275).

42133106334125 is a wasteful number, since it uses less digits than its factorization.

42133106334125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128308022 (or 128308012 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

Adding to 42133106334125 its reverse (52143360133124), we get a palindrome (94276466467249).

The spelling of 42133106334125 in words is "forty-two trillion, one hundred thirty-three billion, one hundred six million, three hundred thirty-four thousand, one hundred twenty-five".