33123312133 has 16 divisors (see below), whose sum is σ = 34978556160. Its totient is φ = 31321584000.

The previous prime is 33123312127. The next prime is 33123312139. The reversal of 33123312133 is 33121332133.

It is an interprime number because it is at equal distance from previous prime (33123312127) and next prime (33123312139).

It is a cyclic number.

It is not a de Polignac number, because 33123312133 - 2⁹ = 33123311621 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33123312098 and 33123312107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33123312139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257641 + ... + 364177.

It is an arithmetic number, because the mean of its divisors is an integer number (2186159760).

Almost surely, 2^33123312133 is an apocalyptic number.

It is an amenable number.

33123312133 is a deficient number, since it is larger than the sum of its proper divisors (1855244027).

33123312133 is a wasteful number, since it uses less digits than its factorization.

33123312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106788.

The product of its digits is 2916, while the sum is 25.

Adding to 33123312133 its reverse (33121332133), we get a palindrome (66244644266).

The spelling of 33123312133 in words is "thirty-three billion, one hundred twenty-three million, three hundred twelve thousand, one hundred thirty-three".