223211313111301 has 2 divisors, whose sum is σ = 223211313111302. Its totient is φ = 223211313111300.

The previous prime is 223211313111299. The next prime is 223211313111307. The reversal of 223211313111301 is 103111313112322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 169786893852900 + 53424419258401 = 13030230^2 + 7309201^2 .

It is a cyclic number.

It is not a de Polignac number, because 223211313111301 - 2¹ = 223211313111299 is a prime.

It is a super-3 number, since 3×223211313111301³ (a number of 44 digits) contains 333 as substring.

Together with 223211313111299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223211313111307) 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, 111605656555650 + 111605656555651.

It is an arithmetic number, because the mean of its divisors is an integer number (111605656555651).

Almost surely, 2^{223211313111301} is an apocalyptic number.

It is an amenable number.

223211313111301 is a deficient number, since it is larger than the sum of its proper divisors (1).

223211313111301 is an equidigital number, since it uses as much as digits as its factorization.

223211313111301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 223211313111301 its reverse (103111313112322), we get a palindrome (326322626223623).

The spelling of 223211313111301 in words is "two hundred twenty-three trillion, two hundred eleven billion, three hundred thirteen million, one hundred eleven thousand, three hundred one".