10223222120113 has 2 divisors, whose sum is σ = 10223222120114. Its totient is φ = 10223222120112.

The previous prime is 10223222120053. The next prime is 10223222120123. The reversal of 10223222120113 is 31102122232201.

10223222120113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9804363340864 + 418858779249 = 3131192^2 + 647193^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10223222120113 is a prime.

It is not a weakly prime, because it can be changed into another prime (10223222120123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111611060056 + 5111611060057.

It is an arithmetic number, because the mean of its divisors is an integer number (5111611060057).

Almost surely, 2^{10223222120113} is an apocalyptic number.

It is an amenable number.

10223222120113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223222120113 is an equidigital number, since it uses as much as digits as its factorization.

10223222120113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10223222120113 its reverse (31102122232201), we get a palindrome (41325344352314).

The spelling of 10223222120113 in words is "ten trillion, two hundred twenty-three billion, two hundred twenty-two million, one hundred twenty thousand, one hundred thirteen".