330031221311213 has 2 divisors, whose sum is σ = 330031221311214. Its totient is φ = 330031221311212.

The previous prime is 330031221311201. The next prime is 330031221311249. The reversal of 330031221311213 is 312113122130033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 219057701157604 + 110973520153609 = 14800598^2 + 10534397^2 .

It is a cyclic number.

It is not a de Polignac number, because 330031221311213 - 2³⁶ = 329962501834477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330031221311263) 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, 165015610655606 + 165015610655607.

It is an arithmetic number, because the mean of its divisors is an integer number (165015610655607).

Almost surely, 2^{330031221311213} is an apocalyptic number.

It is an amenable number.

330031221311213 is a deficient number, since it is larger than the sum of its proper divisors (1).

330031221311213 is an equidigital number, since it uses as much as digits as its factorization.

330031221311213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 330031221311213 its reverse (312113122130033), we get a palindrome (642144343441246).

The spelling of 330031221311213 in words is "three hundred thirty trillion, thirty-one billion, two hundred twenty-one million, three hundred eleven thousand, two hundred thirteen".