2213321330329 has 2 divisors, whose sum is σ = 2213321330330. Its totient is φ = 2213321330328.

The previous prime is 2213321330323. The next prime is 2213321330333. The reversal of 2213321330329 is 9230331233122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2136274560000 + 77046770329 = 1461600^2 + 277573^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213321330329 - 2¹³ = 2213321322137 is a prime.

It is a super-2 number, since 2×2213321330329² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2213321330294 and 2213321330303.

It is not a weakly prime, because it can be changed into another prime (2213321330323) 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, 1106660665164 + 1106660665165.

It is an arithmetic number, because the mean of its divisors is an integer number (1106660665165).

Almost surely, 2^{2213321330329} is an apocalyptic number.

It is an amenable number.

2213321330329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213321330329 is an equidigital number, since it uses as much as digits as its factorization.

2213321330329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 34.

The spelling of 2213321330329 in words is "two trillion, two hundred thirteen billion, three hundred twenty-one million, three hundred thirty thousand, three hundred twenty-nine".