330303122112973 has 2 divisors, whose sum is σ = 330303122112974. Its totient is φ = 330303122112972.

The previous prime is 330303122112959. The next prime is 330303122113037. The reversal of 330303122112973 is 379211221303033.

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., 279757804825444 + 50545317287529 = 16725962^2 + 7109523^2 .

It is a cyclic number.

It is not a de Polignac number, because 330303122112973 - 2⁹ = 330303122112461 is a prime.

It is a super-3 number, since 3×330303122112973³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330303122182973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165151561056486 + 165151561056487.

It is an arithmetic number, because the mean of its divisors is an integer number (165151561056487).

Almost surely, 2^{330303122112973} is an apocalyptic number.

It is an amenable number.

330303122112973 is a deficient number, since it is larger than the sum of its proper divisors (1).

330303122112973 is an equidigital number, since it uses as much as digits as its factorization.

330303122112973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122472, while the sum is 40.

The spelling of 330303122112973 in words is "three hundred thirty trillion, three hundred three billion, one hundred twenty-two million, one hundred twelve thousand, nine hundred seventy-three".