330310032121217 has 2 divisors, whose sum is σ = 330310032121218. Its totient is φ = 330310032121216.

The previous prime is 330310032121213. The next prime is 330310032121229. The reversal of 330310032121217 is 712121230013033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 269364280607041 + 60945751514176 = 16412321^2 + 7806776^2 .

It is an emirp because it is prime and its reverse (712121230013033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 330310032121217 - 2² = 330310032121213 is a prime.

It is a super-2 number, since 2×330310032121217² (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 330310032121217.

It is not a weakly prime, because it can be changed into another prime (330310032121213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165155016060608 + 165155016060609.

It is an arithmetic number, because the mean of its divisors is an integer number (165155016060609).

Almost surely, 2^{330310032121217} is an apocalyptic number.

It is an amenable number.

330310032121217 is a deficient number, since it is larger than the sum of its proper divisors (1).

330310032121217 is an equidigital number, since it uses as much as digits as its factorization.

330310032121217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 29.

The spelling of 330310032121217 in words is "three hundred thirty trillion, three hundred ten billion, thirty-two million, one hundred twenty-one thousand, two hundred seventeen".