3020330313 has 288 divisors, whose sum is σ = 6561015552. Its totient is φ = 1293926400.

The previous prime is 3020330281. The next prime is 3020330329. The reversal of 3020330313 is 3130330203.

3020330313 is a `hidden beast` number, since 3 + 0 + 20 + 330 + 313 = 666.

It is not a de Polignac number, because 3020330313 - 2⁵ = 3020330281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3020330213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 73666573 + ... + 73666613.

It is an arithmetic number, because the mean of its divisors is an integer number (22781304).

Almost surely, 2^3020330313 is an apocalyptic number.

3020330313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3020330313 is an abundant number, since it is smaller than the sum of its proper divisors (3540685239).

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

3020330313 is a wasteful number, since it uses less digits than its factorization.

3020330313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

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

The square root of 3020330313 is about 54957.5319041894. The cubic root of 3020330313 is about 1445.5001701587.

Adding to 3020330313 its reverse (3130330203), we get a palindrome (6150660516).

It can be divided in two parts, 30203 and 30313, that added together give a square (60516 = 246²).

The spelling of 3020330313 in words is "three billion, twenty million, three hundred thirty thousand, three hundred thirteen".