3302313212313 has 12 divisors (see below), whose sum is σ = 4773482141220. Its totient is φ = 2199938679456.

The previous prime is 3302313212299. The next prime is 3302313212357. The reversal of 3302313212313 is 3132123132033.

3302313212313 is a `hidden beast` number, since 3 + 3 + 0 + 23 + 1 + 321 + 2 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3037306527369 + 265006684944 = 1742787^2 + 514788^2 .

It is not a de Polignac number, because 3302313212313 - 2¹⁶ = 3302313146777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3302313212213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133608798 + ... + 133633511.

It is an arithmetic number, because the mean of its divisors is an integer number (397790178435).

Almost surely, 2^{3302313212313} is an apocalyptic number.

It is an amenable number.

3302313212313 is a deficient number, since it is larger than the sum of its proper divisors (1471168928907).

3302313212313 is a wasteful number, since it uses less digits than its factorization.

3302313212313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267243688 (or 267243685 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 3302313212313 its reverse (3132123132033), we get a palindrome (6434436344346).

The spelling of 3302313212313 in words is "three trillion, three hundred two billion, three hundred thirteen million, two hundred twelve thousand, three hundred thirteen".