221013223302013 has 2 divisors, whose sum is σ = 221013223302014. Its totient is φ = 221013223302012.

The previous prime is 221013223301971. The next prime is 221013223302023. The reversal of 221013223302013 is 310203322310122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206152221432004 + 14861001870009 = 14358002^2 + 3854997^2 .

It is a cyclic number.

It is not a de Polignac number, because 221013223302013 - 2⁹ = 221013223301501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221013223302023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110506611651006 + 110506611651007.

It is an arithmetic number, because the mean of its divisors is an integer number (110506611651007).

Almost surely, 2^{221013223302013} is an apocalyptic number.

It is an amenable number.

221013223302013 is a deficient number, since it is larger than the sum of its proper divisors (1).

221013223302013 is an equidigital number, since it uses as much as digits as its factorization.

221013223302013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 221013223302013 its reverse (310203322310122), we get a palindrome (531216545612135).

The spelling of 221013223302013 in words is "two hundred twenty-one trillion, thirteen billion, two hundred twenty-three million, three hundred two thousand, thirteen".