33142000133241 has 48 divisors (see below), whose sum is σ = 49416611362560. Its totient is φ = 21396070080000.

The previous prime is 33142000133239. The next prime is 33142000133261. The reversal of 33142000133241 is 14233100024133.

It is a happy number.

33142000133241 is a `hidden beast` number, since 3 + 314 + 20 + 0 + 0 + 1 + 3 + 324 + 1 = 666.

It is not a de Polignac number, because 33142000133241 - 2¹ = 33142000133239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33142000133261) 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, 6657861 + ... + 10517181.

It is an arithmetic number, because the mean of its divisors is an integer number (1029512736720).

Almost surely, 2^{33142000133241} is an apocalyptic number.

It is an amenable number.

33142000133241 is a deficient number, since it is larger than the sum of its proper divisors (16274611229319).

33142000133241 is a wasteful number, since it uses less digits than its factorization.

33142000133241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859638 (or 3859635 counting only the distinct ones).

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

Adding to 33142000133241 its reverse (14233100024133), we get a palindrome (47375100157374).

The spelling of 33142000133241 in words is "thirty-three trillion, one hundred forty-two billion, one hundred thirty-three thousand, two hundred forty-one".