330303020013 has 24 divisors (see below), whose sum is σ = 493575778488. Its totient is φ = 212686705152.

The previous prime is 330303019973. The next prime is 330303020053. The reversal of 330303020013 is 310020303033.

330303020013 is a `hidden beast` number, since 330 + 30 + 302 + 0 + 0 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (330303019973) and next prime (330303020053).

It can be written as a sum of positive squares in 4 ways, for example, as 90142256169 + 240160763844 = 300237^2 + 490062^2 .

It is not a de Polignac number, because 330303020013 - 2¹⁴ = 330303003629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330303020053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3574456 + ... + 3665697.

It is an arithmetic number, because the mean of its divisors is an integer number (20565657437).

Almost surely, 2^330303020013 is an apocalyptic number.

It is an amenable number.

330303020013 is a deficient number, since it is larger than the sum of its proper divisors (163272758475).

330303020013 is a wasteful number, since it uses less digits than its factorization.

330303020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7240333 (or 7240330 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 330303020013 its reverse (310020303033), we get a palindrome (640323323046).

The spelling of 330303020013 in words is "three hundred thirty billion, three hundred three million, twenty thousand, thirteen".