223212021333313 has 2 divisors, whose sum is σ = 223212021333314. Its totient is φ = 223212021333312.

The previous prime is 223212021333253. The next prime is 223212021333403. The reversal of 223212021333313 is 313333120212322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191857486695169 + 31354534638144 = 13851263^2 + 5599512^2 .

It is a cyclic number.

It is not a de Polignac number, because 223212021333313 - 2²⁵ = 223211987778881 is a prime.

It is a super-3 number, since 3×223212021333313³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223212021337313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111606010666656 + 111606010666657.

It is an arithmetic number, because the mean of its divisors is an integer number (111606010666657).

Almost surely, 2^{223212021333313} is an apocalyptic number.

It is an amenable number.

223212021333313 is a deficient number, since it is larger than the sum of its proper divisors (1).

223212021333313 is an equidigital number, since it uses as much as digits as its factorization.

223212021333313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 223212021333313 its reverse (313333120212322), we get a palindrome (536545141545635).

The spelling of 223212021333313 in words is "two hundred twenty-three trillion, two hundred twelve billion, twenty-one million, three hundred thirty-three thousand, three hundred thirteen".