221313324032441 has 2 divisors, whose sum is σ = 221313324032442. Its totient is φ = 221313324032440.

The previous prime is 221313324032419. The next prime is 221313324032447. The reversal of 221313324032441 is 144230423313122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 162928886209600 + 58384437822841 = 12764360^2 + 7640971^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221313324032441 is a prime.

It is not a weakly prime, because it can be changed into another prime (221313324032447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110656662016220 + 110656662016221.

It is an arithmetic number, because the mean of its divisors is an integer number (110656662016221).

Almost surely, 2^{221313324032441} is an apocalyptic number.

It is an amenable number.

221313324032441 is a deficient number, since it is larger than the sum of its proper divisors (1).

221313324032441 is an equidigital number, since it uses as much as digits as its factorization.

221313324032441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 221313324032441 its reverse (144230423313122), we get a palindrome (365543747345563).

The spelling of 221313324032441 in words is "two hundred twenty-one trillion, three hundred thirteen billion, three hundred twenty-four million, thirty-two thousand, four hundred forty-one".