33213004321 has 32 divisors (see below), whose sum is σ = 40282675200. Its totient is φ = 26749699200.

The previous prime is 33213004273. The next prime is 33213004351. The reversal of 33213004321 is 12340031233.

It is not a de Polignac number, because 33213004321 - 2⁹ = 33213003809 is a prime.

It is a super-2 number, since 2×33213004321² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33213004292 and 33213004301.

It is not an unprimeable number, because it can be changed into a prime (33213004351) 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 31 ways as a sum of consecutive naturals, for example, 25765845 + ... + 25767133.

It is an arithmetic number, because the mean of its divisors is an integer number (1258833600).

Almost surely, 2^33213004321 is an apocalyptic number.

It is an amenable number.

33213004321 is a deficient number, since it is larger than the sum of its proper divisors (7069670879).

33213004321 is a wasteful number, since it uses less digits than its factorization.

33213004321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 33213004321 its reverse (12340031233), we get a palindrome (45553035554).

The spelling of 33213004321 in words is "thirty-three billion, two hundred thirteen million, four thousand, three hundred twenty-one".