330121130130330 has 192 divisors, whose sum is σ = 995373223004160. Its totient is φ = 68589779322240.

The previous prime is 330121130130299. The next prime is 330121130130343. The reversal of 330121130130330 is 33031031121033.

It is a self number, because there is not a number n which added to its sum of digits gives 330121130130330.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256991307 + ... + 258272673.

It is an arithmetic number, because the mean of its divisors is an integer number (5184235536480).

Almost surely, 2^{330121130130330} is an apocalyptic number.

330121130130330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330121130130330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497686611502080).

330121130130330 is an abundant number, since it is smaller than the sum of its proper divisors (665252092873830).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330121130130330 is a wasteful number, since it uses less digits than its factorization.

330121130130330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291545 (or 1291534 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 330121130130330 its reverse (33031031121033), we get a palindrome (363152161251363).

The spelling of 330121130130330 in words is "three hundred thirty trillion, one hundred twenty-one billion, one hundred thirty million, one hundred thirty thousand, three hundred thirty".