330120231212313 has 6 divisors (see below), whose sum is σ = 476840333973354. Its totient is φ = 220080154141536.

The previous prime is 330120231212273. The next prime is 330120231212327. The reversal of 330120231212313 is 313212132021033.

330120231212313 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 20 + 2 + 312 + 12 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 284304010974489 + 45816220237824 = 16861317^2 + 6768768^2 .

It is not a de Polignac number, because 330120231212313 - 2¹² = 330120231208217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (330120231212353) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18340012845120 + ... + 18340012845137.

It is an arithmetic number, because the mean of its divisors is an integer number (79473388995559).

Almost surely, 2^{330120231212313} is an apocalyptic number.

It is an amenable number.

330120231212313 is a deficient number, since it is larger than the sum of its proper divisors (146720102761041).

330120231212313 is a wasteful number, since it uses less digits than its factorization.

330120231212313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36680025690263 (or 36680025690260 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 330120231212313 its reverse (313212132021033), we get a palindrome (643332363233346).

The spelling of 330120231212313 in words is "three hundred thirty trillion, one hundred twenty billion, two hundred thirty-one million, two hundred twelve thousand, three hundred thirteen".