223221000013001 has 2 divisors, whose sum is σ = 223221000013002. Its totient is φ = 223221000013000.

The previous prime is 223221000012991. The next prime is 223221000013007. The reversal of 223221000013001 is 100310000122322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176483254090000 + 46737745923001 = 13284700^2 + 6836501^2 .

It is a cyclic number.

It is not a de Polignac number, because 223221000013001 - 2⁴² = 218822953501897 is a prime.

It is a super-3 number, since 3×223221000013001³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (223221000013007) 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, 111610500006500 + 111610500006501.

It is an arithmetic number, because the mean of its divisors is an integer number (111610500006501).

Almost surely, 2^{223221000013001} is an apocalyptic number.

It is an amenable number.

223221000013001 is a deficient number, since it is larger than the sum of its proper divisors (1).

223221000013001 is an equidigital number, since it uses as much as digits as its factorization.

223221000013001 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 223221000013001 its reverse (100310000122322), we get a palindrome (323531000135323).

The spelling of 223221000013001 in words is "two hundred twenty-three trillion, two hundred twenty-one billion, thirteen thousand, one".