10223311013249 has 2 divisors, whose sum is σ = 10223311013250. Its totient is φ = 10223311013248.

The previous prime is 10223311013191. The next prime is 10223311013273. The reversal of 10223311013249 is 94231011332201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6728628481600 + 3494682531649 = 2593960^2 + 1869407^2 .

It is a cyclic number.

It is not a de Polignac number, because 10223311013249 - 2²⁸ = 10223042577793 is a prime.

It is not a weakly prime, because it can be changed into another prime (10223311013749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111655506624 + 5111655506625.

It is an arithmetic number, because the mean of its divisors is an integer number (5111655506625).

Almost surely, 2^{10223311013249} is an apocalyptic number.

It is an amenable number.

10223311013249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223311013249 is an equidigital number, since it uses as much as digits as its factorization.

10223311013249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 10223311013249 in words is "ten trillion, two hundred twenty-three billion, three hundred eleven million, thirteen thousand, two hundred forty-nine".