10223144042113 has 2 divisors, whose sum is σ = 10223144042114. Its totient is φ = 10223144042112.

The previous prime is 10223144042101. The next prime is 10223144042159. The reversal of 10223144042113 is 31124044132201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6252940345744 + 3970203696369 = 2500588^2 + 1992537^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10223144042113 is a prime.

It is not a weakly prime, because it can be changed into another prime (10223144012113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111572021056 + 5111572021057.

It is an arithmetic number, because the mean of its divisors is an integer number (5111572021057).

Almost surely, 2^{10223144042113} is an apocalyptic number.

It is an amenable number.

10223144042113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223144042113 is an equidigital number, since it uses as much as digits as its factorization.

10223144042113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10223144042113 its reverse (31124044132201), we get a palindrome (41347188174314).

The spelling of 10223144042113 in words is "ten trillion, two hundred twenty-three billion, one hundred forty-four million, forty-two thousand, one hundred thirteen".