33423312321 has 36 divisors (see below), whose sum is σ = 56126379712. Its totient is φ = 18775199952.

The previous prime is 33423312317. The next prime is 33423312323. The reversal of 33423312321 is 12321332433.

33423312321 is a `hidden beast` number, since 3 + 3 + 4 + 2 + 331 + 2 + 321 = 666.

It is not a de Polignac number, because 33423312321 - 2² = 33423312317 is a prime.

It is a super-3 number, since 3×33423312321³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33423312323) 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 35 ways as a sum of consecutive naturals, for example, 143100 + ... + 295506.

Almost surely, 2^33423312321 is an apocalyptic number.

It is an amenable number.

33423312321 is a deficient number, since it is larger than the sum of its proper divisors (22703067391).

33423312321 is a wasteful number, since it uses less digits than its factorization.

33423312321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152538 (or 152476 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 33423312321 its reverse (12321332433), we get a palindrome (45744644754).

It can be divided in two parts, 33423 and 312321, that added together give a square (345744 = 588²).

The spelling of 33423312321 in words is "thirty-three billion, four hundred twenty-three million, three hundred twelve thousand, three hundred twenty-one".