1013310223217 has 2 divisors, whose sum is σ = 1013310223218. Its totient is φ = 1013310223216.

The previous prime is 1013310223117. The next prime is 1013310223229. The reversal of 1013310223217 is 7123220133101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1011923331136 + 1386892081 = 1005944^2 + 37241^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013310223217 - 2¹⁶ = 1013310157681 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013310223297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506655111608 + 506655111609.

It is an arithmetic number, because the mean of its divisors is an integer number (506655111609).

Almost surely, 2^{1013310223217} is an apocalyptic number.

It is an amenable number.

1013310223217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013310223217 is an equidigital number, since it uses as much as digits as its factorization.

1013310223217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

Adding to 1013310223217 its reverse (7123220133101), we get a palindrome (8136530356318).

The spelling of 1013310223217 in words is "one trillion, thirteen billion, three hundred ten million, two hundred twenty-three thousand, two hundred seventeen".