330011330123121 has 24 divisors (see below), whose sum is σ = 467468517502560. Its totient is φ = 207044834698752.

The previous prime is 330011330123113. The next prime is 330011330123147. The reversal of 330011330123121 is 121321033110033.

It is not a de Polignac number, because 330011330123121 - 2³ = 330011330123113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 330011330123091 and 330011330123100.

It is not an unprimeable number, because it can be changed into a prime (330011330123021) 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 23 ways as a sum of consecutive naturals, for example, 10875231 + ... + 27897908.

It is an arithmetic number, because the mean of its divisors is an integer number (19477854895940).

Almost surely, 2^{330011330123121} is an apocalyptic number.

It is an amenable number.

330011330123121 is a deficient number, since it is larger than the sum of its proper divisors (137457187379439).

330011330123121 is a wasteful number, since it uses less digits than its factorization.

330011330123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38782993 (or 38782976 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 330011330123121 its reverse (121321033110033), we get a palindrome (451332363233154).

The spelling of 330011330123121 in words is "three hundred thirty trillion, eleven billion, three hundred thirty million, one hundred twenty-three thousand, one hundred twenty-one".