223221310001 has 2 divisors, whose sum is σ = 223221310002. Its totient is φ = 223221310000.

The previous prime is 223221309991. The next prime is 223221310009. The reversal of 223221310001 is 100013122322.

223221310001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 160720810000 + 62500500001 = 400900^2 + 250001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-223221310001 is a prime.

It is a super-3 number, since 3×223221310001³ (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223221310009) 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, 111610655000 + 111610655001.

It is an arithmetic number, because the mean of its divisors is an integer number (111610655001).

Almost surely, 2^223221310001 is an apocalyptic number.

It is an amenable number.

223221310001 is a deficient number, since it is larger than the sum of its proper divisors (1).

223221310001 is an equidigital number, since it uses as much as digits as its factorization.

223221310001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 223221310001 its reverse (100013122322), we get a palindrome (323234432323).

The spelling of 223221310001 in words is "two hundred twenty-three billion, two hundred twenty-one million, three hundred ten thousand, one".