33122113120233 has 20 divisors (see below), whose sum is σ = 51074799685888. Its totient is φ = 21369105237240.

The previous prime is 33122113120183. The next prime is 33122113120277. The reversal of 33122113120233 is 33202131122133.

33122113120233 is a `hidden beast` number, since 3 + 312 + 2 + 1 + 1 + 312 + 0 + 2 + 33 = 666.

It is not a de Polignac number, because 33122113120233 - 2¹⁶ = 33122113054697 is a prime.

It is a super-2 number, since 2×33122113120233² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33122113120197 and 33122113120206.

It is not an unprimeable number, because it can be changed into a prime (33122113120133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6595400341 + ... + 6595405362.

Almost surely, 2^{33122113120233} is an apocalyptic number.

It is an amenable number.

33122113120233 is a deficient number, since it is larger than the sum of its proper divisors (17952686565655).

33122113120233 is a wasteful number, since it uses less digits than its factorization.

33122113120233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13190805746 (or 13190805737 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 33122113120233 its reverse (33202131122133), we get a palindrome (66324244242366).

The spelling of 33122113120233 in words is "thirty-three trillion, one hundred twenty-two billion, one hundred thirteen million, one hundred twenty thousand, two hundred thirty-three".