330030312002000 has 40 divisors (see below), whose sum is σ = 798013294425672. Its totient is φ = 132012124800000.

The previous prime is 330030312001993. The next prime is 330030312002113. The reversal of 330030312002000 is 200213030033.

It can be written as a sum of positive squares in 4 ways, for example, as 1746066246544 + 328284245755456 = 1321388^2 + 18118616^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 330030312002000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82507576001 + ... + 82507580000.

Almost surely, 2^{330030312002000} is an apocalyptic number.

It is an amenable number.

330030312002000 is an abundant number, since it is smaller than the sum of its proper divisors (467982982423672).

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

330030312002000 is a wasteful number, since it uses less digits than its factorization.

330030312002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165015156024 (or 165015156008 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 330030312002000 its reverse (200213030033), we get a palindrome (330230525032033).

The spelling of 330030312002000 in words is "three hundred thirty trillion, thirty billion, three hundred twelve million, two thousand".