2213321330305 has 8 divisors (see below), whose sum is σ = 2656001299752. Its totient is φ = 1770646595328.

The previous prime is 2213321330267. The next prime is 2213321330309. The reversal of 2213321330305 is 5030331233122.

It can be written as a sum of positive squares in 4 ways, for example, as 1346302864 + 2211975027441 = 36692^2 + 1487271^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2213321330305 - 2³¹ = 2211173846657 is a prime.

It is a super-2 number, since 2×2213321330305² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2213321330309) 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 in 7 ways as a sum of consecutive naturals, for example, 308952 + ... + 2126521.

It is an arithmetic number, because the mean of its divisors is an integer number (332000162469).

Almost surely, 2^{2213321330305} is an apocalyptic number.

It is an amenable number.

2213321330305 is a deficient number, since it is larger than the sum of its proper divisors (442679969447).

2213321330305 is a wasteful number, since it uses less digits than its factorization.

2213321330305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617235.

The product of its (nonzero) digits is 9720, while the sum is 28.

Adding to 2213321330305 its reverse (5030331233122), we get a palindrome (7243652563427).

The spelling of 2213321330305 in words is "two trillion, two hundred thirteen billion, three hundred twenty-one million, three hundred thirty thousand, three hundred five".