330013303013233 has 6 divisors (see below), whose sum is σ = 383893025954226. Its totient is φ = 282868545439872.

The previous prime is 330013303013227. The next prime is 330013303013239. The reversal of 330013303013233 is 332310303310033.

It is an interprime number because it is at equal distance from previous prime (330013303013227) and next prime (330013303013239).

It can be written as a sum of positive squares in only one way, i.e., 193649016503089 + 136364286510144 = 13915783^2 + 11677512^2 .

It is not a de Polignac number, because 330013303013233 - 2⁹ = 330013303012721 is a prime.

It is a super-4 number, since 4×330013303013233⁴ (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330013303013239) 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, 3367482683760 + ... + 3367482683857.

It is an arithmetic number, because the mean of its divisors is an integer number (63982170992371).

Almost surely, 2^{330013303013233} is an apocalyptic number.

It is an amenable number.

330013303013233 is a deficient number, since it is larger than the sum of its proper divisors (53879722940993).

330013303013233 is an equidigital number, since it uses as much as digits as its factorization.

330013303013233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6734965367631 (or 6734965367624 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 28.

Adding to 330013303013233 its reverse (332310303310033), we get a palindrome (662323606323266).

The spelling of 330013303013233 in words is "three hundred thirty trillion, thirteen billion, three hundred three million, thirteen thousand, two hundred thirty-three".