330013314323 has 48 divisors (see below), whose sum is σ = 416546296320. Its totient is φ = 255925992960.

The previous prime is 330013314251. The next prime is 330013314341. The reversal of 330013314323 is 323413310033.

It is a de Polignac number, because none of the positive numbers 2^k-330013314323 is a prime.

It is a super-4 number, since 4×330013314323⁴ (a number of 47 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330013314292 and 330013314301.

It is not an unprimeable number, because it can be changed into a prime (330013314343) 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 in 47 ways as a sum of consecutive naturals, for example, 194467811 + ... + 194469507.

It is an arithmetic number, because the mean of its divisors is an integer number (8678047840).

Almost surely, 2^330013314323 is an apocalyptic number.

330013314323 is a deficient number, since it is larger than the sum of its proper divisors (86532981997).

330013314323 is a wasteful number, since it uses less digits than its factorization.

330013314323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 330013314323 its reverse (323413310033), we get a palindrome (653426624356).

The spelling of 330013314323 in words is "three hundred thirty billion, thirteen million, three hundred fourteen thousand, three hundred twenty-three".