222002002221313 has 2 divisors, whose sum is σ = 222002002221314. Its totient is φ = 222002002221312.

The previous prime is 222002002221149. The next prime is 222002002221347. The reversal of 222002002221313 is 313122200200222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154708396341489 + 67293605879824 = 12438183^2 + 8203268^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-222002002221313 is a prime.

It is a super-3 number, since 3×222002002221313³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (222002002231313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111001001110656 + 111001001110657.

It is an arithmetic number, because the mean of its divisors is an integer number (111001001110657).

Almost surely, 2^{222002002221313} is an apocalyptic number.

It is an amenable number.

222002002221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

222002002221313 is an equidigital number, since it uses as much as digits as its factorization.

222002002221313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 222002002221313 its reverse (313122200200222), we get a palindrome (535124202421535).

The spelling of 222002002221313 in words is "two hundred twenty-two trillion, two billion, two million, two hundred twenty-one thousand, three hundred thirteen".