33168086133 has 96 divisors (see below), whose sum is σ = 56103255936. Its totient is φ = 17275410432.

The previous prime is 33168086099. The next prime is 33168086141.

33168086133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33168086133 - 2¹² = 33168082037 is a prime.

It is a super-2 number, since 2×33168086133² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33168086143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72577641 + ... + 72578097.

It is an arithmetic number, because the mean of its divisors is an integer number (584408916).

Almost surely, 2^33168086133 is an apocalyptic number.

It is an amenable number.

33168086133 is a deficient number, since it is larger than the sum of its proper divisors (22935169803).

33168086133 is a wasteful number, since it uses less digits than its factorization.

33168086133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 33168086133 in words is "thirty-three billion, one hundred sixty-eight million, eighty-six thousand, one hundred thirty-three".