10223033013209 has 2 divisors, whose sum is σ = 10223033013210. Its totient is φ = 10223033013208.

The previous prime is 10223033013197. The next prime is 10223033013211. The reversal of 10223033013209 is 90231033032201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10089694839184 + 133338174025 = 3176428^2 + 365155^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10223033013209 is a prime.

It is a super-2 number, since 2×10223033013209² (a number of 27 digits) contains 22 as substring.

Together with 10223033013211, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10223033013289) 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 as a sum of consecutive naturals, namely, 5111516506604 + 5111516506605.

It is an arithmetic number, because the mean of its divisors is an integer number (5111516506605).

Almost surely, 2^{10223033013209} is an apocalyptic number.

It is an amenable number.

10223033013209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223033013209 is an equidigital number, since it uses as much as digits as its factorization.

10223033013209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 29.

The spelling of 10223033013209 in words is "ten trillion, two hundred twenty-three billion, thirty-three million, thirteen thousand, two hundred nine".