330013303131000 has 1024 divisors, whose sum is σ = 1127902186045440. Its totient is φ = 79998013440000.

The previous prime is 330013303130867. The next prime is 330013303131107. The reversal of 330013303131000 is 131303310033.

It is a super-4 number, since 4×330013303131000⁴ (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 311039870470 + ... + 311039871530.

It is an arithmetic number, because the mean of its divisors is an integer number (1101466978560).

Almost surely, 2^{330013303131000} is an apocalyptic number.

330013303131000 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 330013303131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563951093022720).

330013303131000 is an abundant number, since it is smaller than the sum of its proper divisors (797888882914440).

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

330013303131000 is a wasteful number, since it uses less digits than its factorization.

330013303131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 330013303131000 its reverse (131303310033), we get a palindrome (330144606441033).

The spelling of 330013303131000 in words is "three hundred thirty trillion, thirteen billion, three hundred three million, one hundred thirty-one thousand".