3331321130313 has 48 divisors (see below), whose sum is σ = 5598127080000. Its totient is φ = 1886548055040.

The previous prime is 3331321130287. The next prime is 3331321130327. The reversal of 3331321130313 is 3130311231333.

3331321130313 is a `hidden beast` number, since 3 + 3 + 31 + 321 + 1 + 303 + 1 + 3 = 666.

It is not a de Polignac number, because 3331321130313 - 2⁵ = 3331321130281 is a prime.

It is a super-2 number, since 2×3331321130313² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3331321230313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6886188 + ... + 7354061.

It is an arithmetic number, because the mean of its divisors is an integer number (116627647500).

Almost surely, 2^{3331321130313} is an apocalyptic number.

3331321130313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3331321130313 is a deficient number, since it is larger than the sum of its proper divisors (2266805949687).

3331321130313 is a wasteful number, since it uses less digits than its factorization.

3331321130313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14240422 (or 14240419 counting only the distinct ones).

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

Adding to 3331321130313 its reverse (3130311231333), we get a palindrome (6461632361646).

The spelling of 3331321130313 in words is "three trillion, three hundred thirty-one billion, three hundred twenty-one million, one hundred thirty thousand, three hundred thirteen".