330303133130213 has 2 divisors, whose sum is σ = 330303133130214. Its totient is φ = 330303133130212.

The previous prime is 330303133130167. The next prime is 330303133130273. The reversal of 330303133130213 is 312031331303033.

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., 327874204646209 + 2428928484004 = 18107297^2 + 1558502^2 .

It is a cyclic number.

It is not a de Polignac number, because 330303133130213 - 2⁴² = 325905086619109 is a prime.

It is a super-2 number, since 2×330303133130213² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330303133130273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165151566565106 + 165151566565107.

It is an arithmetic number, because the mean of its divisors is an integer number (165151566565107).

Almost surely, 2^{330303133130213} is an apocalyptic number.

It is an amenable number.

330303133130213 is a deficient number, since it is larger than the sum of its proper divisors (1).

330303133130213 is an equidigital number, since it uses as much as digits as its factorization.

330303133130213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 29.

Adding to 330303133130213 its reverse (312031331303033), we get a palindrome (642334464433246).

The spelling of 330303133130213 in words is "three hundred thirty trillion, three hundred three billion, one hundred thirty-three million, one hundred thirty thousand, two hundred thirteen".