221312330010353 has 2 divisors, whose sum is σ = 221312330010354. Its totient is φ = 221312330010352.

The previous prime is 221312330010307. The next prime is 221312330010361. The reversal of 221312330010353 is 353010033213122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217956296535649 + 3356033474704 = 14763343^2 + 1831948^2 .

It is a cyclic number.

It is not a de Polignac number, because 221312330010353 - 2⁸ = 221312330010097 is a prime.

It is a super-2 number, since 2×221312330010353² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221312330013353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110656165005176 + 110656165005177.

It is an arithmetic number, because the mean of its divisors is an integer number (110656165005177).

Almost surely, 2^{221312330010353} is an apocalyptic number.

It is an amenable number.

221312330010353 is a deficient number, since it is larger than the sum of its proper divisors (1).

221312330010353 is an equidigital number, since it uses as much as digits as its factorization.

221312330010353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 29.

Adding to 221312330010353 its reverse (353010033213122), we get a palindrome (574322363223475).

The spelling of 221312330010353 in words is "two hundred twenty-one trillion, three hundred twelve billion, three hundred thirty million, ten thousand, three hundred fifty-three".