10223333011321 has 2 divisors, whose sum is σ = 10223333011322. Its totient is φ = 10223333011320.

The previous prime is 10223333011279. The next prime is 10223333011349. The reversal of 10223333011321 is 12311033332201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10158651805696 + 64681205625 = 3187264^2 + 254325^2 .

It is a cyclic number.

It is not a de Polignac number, because 10223333011321 - 2¹⁵ = 10223332978553 is a prime.

It is a super-3 number, since 3×10223333011321³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10223333011391) 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, 5111666505660 + 5111666505661.

It is an arithmetic number, because the mean of its divisors is an integer number (5111666505661).

Almost surely, 2^{10223333011321} is an apocalyptic number.

It is an amenable number.

10223333011321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223333011321 is an equidigital number, since it uses as much as digits as its factorization.

10223333011321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 10223333011321 its reverse (12311033332201), we get a palindrome (22534366343522).

The spelling of 10223333011321 in words is "ten trillion, two hundred twenty-three billion, three hundred thirty-three million, eleven thousand, three hundred twenty-one".