330130323011313 has 96 divisors (see below), whose sum is σ = 539001423878400. Its totient is φ = 199552866036480.

The previous prime is 330130323011311. The next prime is 330130323011339. The reversal of 330130323011313 is 313110323031033.

330130323011313 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 303 + 2 + 30 + 11 + 313 = 666.

It is not a de Polignac number, because 330130323011313 - 2¹ = 330130323011311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (330130323011311) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1906230781 + ... + 1906403957.

It is an arithmetic number, because the mean of its divisors is an integer number (5614598165400).

Almost surely, 2^{330130323011313} is an apocalyptic number.

330130323011313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

330130323011313 is a deficient number, since it is larger than the sum of its proper divisors (208871100867087).

330130323011313 is a wasteful number, since it uses less digits than its factorization.

330130323011313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174740 (or 174723 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 330130323011313 its reverse (313110323031033), we get a palindrome (643240646042346).

The spelling of 330130323011313 in words is "three hundred thirty trillion, one hundred thirty billion, three hundred twenty-three million, eleven thousand, three hundred thirteen".