330313112101213 has 2 divisors, whose sum is σ = 330313112101214. Its totient is φ = 330313112101212.

The previous prime is 330313112101129. The next prime is 330313112101223. The reversal of 330313112101213 is 312101211313033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 262191809906244 + 68121302194969 = 16192338^2 + 8253563^2 .

It is a cyclic number.

It is not a de Polignac number, because 330313112101213 - 2¹⁷ = 330313111970141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330313112101223) 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, 165156556050606 + 165156556050607.

It is an arithmetic number, because the mean of its divisors is an integer number (165156556050607).

Almost surely, 2^{330313112101213} is an apocalyptic number.

It is an amenable number.

330313112101213 is a deficient number, since it is larger than the sum of its proper divisors (1).

330313112101213 is an equidigital number, since it uses as much as digits as its factorization.

330313112101213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 330313112101213 its reverse (312101211313033), we get a palindrome (642414323414246).

The spelling of 330313112101213 in words is "three hundred thirty trillion, three hundred thirteen billion, one hundred twelve million, one hundred one thousand, two hundred thirteen".