330320010300000 has 2304 divisors, whose sum is σ = 1343703997440000. Its totient is φ = 70814580480000.

The previous prime is 330320010299933. The next prime is 330320010300001. The reversal of 330320010300000 is 3010023033.

It is a super-2 number, since 2×330320010300000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330320010300001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 209195699211 + ... + 209195700789.

It is an arithmetic number, because the mean of its divisors is an integer number (583204860000).

Almost surely, 2^{330320010300000} is an apocalyptic number.

330320010300000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330320010300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671851998720000).

330320010300000 is an abundant number, since it is smaller than the sum of its proper divisors (1013383987140000).

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

330320010300000 is a wasteful number, since it uses less digits than its factorization.

330320010300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 330320010300000 its reverse (3010023033), we get a palindrome (330323020323033).

The spelling of 330320010300000 in words is "three hundred thirty trillion, three hundred twenty billion, ten million, three hundred thousand".