330313032323213 has 2 divisors, whose sum is σ = 330313032323214. Its totient is φ = 330313032323212.

The previous prime is 330313032323191. The next prime is 330313032323243. The reversal of 330313032323213 is 312323230313033.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183754237137604 + 146558795185609 = 13555598^2 + 12106147^2 .

It is an emirp because it is prime and its reverse (312323230313033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 330313032323213 - 2¹⁸ = 330313032061069 is a prime.

It is a super-2 number, since 2×330313032323213² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 330313032323213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330313032323243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165156516161606 + 165156516161607.

It is an arithmetic number, because the mean of its divisors is an integer number (165156516161607).

Almost surely, 2^{330313032323213} is an apocalyptic number.

It is an amenable number.

330313032323213 is a deficient number, since it is larger than the sum of its proper divisors (1).

330313032323213 is an equidigital number, since it uses as much as digits as its factorization.

330313032323213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 32.

Adding to 330313032323213 its reverse (312323230313033), we get a palindrome (642636262636246).

The spelling of 330313032323213 in words is "three hundred thirty trillion, three hundred thirteen billion, thirty-two million, three hundred twenty-three thousand, two hundred thirteen".