221314305413 has 2 divisors, whose sum is σ = 221314305414. Its totient is φ = 221314305412.

The previous prime is 221314305397. The next prime is 221314305419. The reversal of 221314305413 is 314503413122.

221314305413 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., 221296858084 + 17447329 = 470422^2 + 4177^2 .

It is a cyclic number.

It is not a de Polignac number, because 221314305413 - 2⁴ = 221314305397 is a prime.

It is a super-2 number, since 2×221314305413² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221314305419) 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, 110657152706 + 110657152707.

It is an arithmetic number, because the mean of its divisors is an integer number (110657152707).

Almost surely, 2^221314305413 is an apocalyptic number.

It is an amenable number.

221314305413 is a deficient number, since it is larger than the sum of its proper divisors (1).

221314305413 is an equidigital number, since it uses as much as digits as its factorization.

221314305413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 221314305413 its reverse (314503413122), we get a palindrome (535817718535).

The spelling of 221314305413 in words is "two hundred twenty-one billion, three hundred fourteen million, three hundred five thousand, four hundred thirteen".