10033033133 has 8 divisors (see below), whose sum is σ = 10207560216. Its totient is φ = 9858830400.

The previous prime is 10033033117. The next prime is 10033033187. The reversal of 10033033133 is 33133033001.

It can be written as a sum of positive squares in 4 ways, for example, as 24631369 + 10008401764 = 4963^2 + 100042^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10033033133 - 2⁴ = 10033033117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033033193) 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 7 ways as a sum of consecutive naturals, for example, 18266 + ... + 142827.

It is an arithmetic number, because the mean of its divisors is an integer number (1275945027).

Almost surely, 2^10033033133 is an apocalyptic number.

It is an amenable number.

10033033133 is a deficient number, since it is larger than the sum of its proper divisors (174527083).

10033033133 is a wasteful number, since it uses less digits than its factorization.

10033033133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162175.

The product of its (nonzero) digits is 729, while the sum is 20.

Adding to 10033033133 its reverse (33133033001), we get a palindrome (43166066134).

The spelling of 10033033133 in words is "ten billion, thirty-three million, thirty-three thousand, one hundred thirty-three".