330123312013301 has 2 divisors, whose sum is σ = 330123312013302. Its totient is φ = 330123312013300.

The previous prime is 330123312013219. The next prime is 330123312013309. The reversal of 330123312013301 is 103310213321033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 242051675160100 + 88071636853201 = 15558010^2 + 9384649^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-330123312013301 is a prime.

It is a super-2 number, since 2×330123312013301² (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 (330123312013309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165061656006650 + 165061656006651.

It is an arithmetic number, because the mean of its divisors is an integer number (165061656006651).

Almost surely, 2^{330123312013301} is an apocalyptic number.

It is an amenable number.

330123312013301 is a deficient number, since it is larger than the sum of its proper divisors (1).

330123312013301 is an equidigital number, since it uses as much as digits as its factorization.

330123312013301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 330123312013301 its reverse (103310213321033), we get a palindrome (433433525334334).

The spelling of 330123312013301 in words is "three hundred thirty trillion, one hundred twenty-three billion, three hundred twelve million, thirteen thousand, three hundred one".