330433011344013 has 32 divisors (see below), whose sum is σ = 461732530222080. Its totient is φ = 209794505880960.

The previous prime is 330433011343979. The next prime is 330433011344039. The reversal of 330433011344013 is 310443110334033.

It is not a de Polignac number, because 330433011344013 - 2³⁶ = 330364291867277 is a prime.

It is a super-3 number, since 3×330433011344013³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330433011344213) 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 in 31 ways as a sum of consecutive naturals, for example, 283321798 + ... + 284485688.

It is an arithmetic number, because the mean of its divisors is an integer number (14429141569440).

Almost surely, 2^{330433011344013} is an apocalyptic number.

It is an amenable number.

330433011344013 is a deficient number, since it is larger than the sum of its proper divisors (131299518878067).

330433011344013 is a wasteful number, since it uses less digits than its factorization.

330433011344013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181809.

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 330433011344013 its reverse (310443110334033), we get a palindrome (640876121678046).

The spelling of 330433011344013 in words is "three hundred thirty trillion, four hundred thirty-three billion, eleven million, three hundred forty-four thousand, thirteen".