233220002002321 has 8 divisors (see below), whose sum is σ = 236420157172680. Its totient is φ = 230019991713792.

The previous prime is 233220002002313. The next prime is 233220002002373. The reversal of 233220002002321 is 123200200022332.

It can be written as a sum of positive squares in 4 ways, for example, as 5997209166400 + 227222792835921 = 2448920^2 + 15073911^2 .

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 233220002002321 - 2³ = 233220002002313 is a prime.

It is a super-2 number, since 2×233220002002321² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233220002002292 and 233220002002301.

It is not an unprimeable number, because it can be changed into a prime (233220002002381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32976940 + ... + 39419773.

It is an arithmetic number, because the mean of its divisors is an integer number (29552519646585).

Almost surely, 2^{233220002002321} is an apocalyptic number.

It is an amenable number.

233220002002321 is a deficient number, since it is larger than the sum of its proper divisors (3200155170359).

233220002002321 is an equidigital number, since it uses as much as digits as its factorization.

233220002002321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72440915.

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 233220002002321 its reverse (123200200022332), we get a palindrome (356420202024653).

The spelling of 233220002002321 in words is "two hundred thirty-three trillion, two hundred twenty billion, two million, two thousand, three hundred twenty-one".