220303323313 has 2 divisors, whose sum is σ = 220303323314. Its totient is φ = 220303323312.

The previous prime is 220303323311. The next prime is 220303323379. The reversal of 220303323313 is 313323303022.

220303323313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205364861584 + 14938461729 = 453172^2 + 122223^2 .

It is a cyclic number.

It is not a de Polignac number, because 220303323313 - 2¹ = 220303323311 is a prime.

Together with 220303323311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (220303323311) 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, 110151661656 + 110151661657.

It is an arithmetic number, because the mean of its divisors is an integer number (110151661657).

Almost surely, 2^220303323313 is an apocalyptic number.

It is an amenable number.

220303323313 is a deficient number, since it is larger than the sum of its proper divisors (1).

220303323313 is an equidigital number, since it uses as much as digits as its factorization.

220303323313 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 25.

Adding to 220303323313 its reverse (313323303022), we get a palindrome (533626626335).

The spelling of 220303323313 in words is "two hundred twenty billion, three hundred three million, three hundred twenty-three thousand, three hundred thirteen".