33002442002133 has 48 divisors (see below), whose sum is σ = 47909660198400. Its totient is φ = 21891401959680.

The previous prime is 33002442002093. The next prime is 33002442002143. The reversal of 33002442002133 is 33120024420033.

33002442002133 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 2 + 442 + 0 + 0 + 213 + 3 = 666.

It is not a de Polignac number, because 33002442002133 - 2¹² = 33002441998037 is a prime.

It is a super-2 number, since 2×33002442002133² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33002442002097 and 33002442002106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33002442002143) 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, 4478547273 + ... + 4478554641.

It is an arithmetic number, because the mean of its divisors is an integer number (998117920800).

Almost surely, 2^{33002442002133} is an apocalyptic number.

It is an amenable number.

33002442002133 is a deficient number, since it is larger than the sum of its proper divisors (14907218196267).

33002442002133 is a wasteful number, since it uses less digits than its factorization.

33002442002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10402 (or 10399 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 33002442002133 its reverse (33120024420033), we get a palindrome (66122466422166).

The spelling of 33002442002133 in words is "thirty-three trillion, two billion, four hundred forty-two million, two thousand, one hundred thirty-three".