313232323232313 has 48 divisors (see below), whose sum is σ = 459221240509200. Its totient is φ = 205718200934400.

The previous prime is 313232323232291. The next prime is 313232323232333.

It is a happy number.

313232323232313 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 3 + 2 + 323 + 2 + 323 + 1 + 3 = 666.

313232323232313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 75865702648464 + 237366620583849 = 8710092^2 + 15406707^2 .

It is not a de Polignac number, because 313232323232313 - 2²⁹ = 313231786361401 is a prime.

It is a super-2 number, since 2×313232323232313² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313232323232333) 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 47 ways as a sum of consecutive naturals, for example, 143539881 + ... + 145705737.

It is an arithmetic number, because the mean of its divisors is an integer number (9567109177275).

Almost surely, 2^{313232323232313} is an apocalyptic number.

It is an amenable number.

313232323232313 is a deficient number, since it is larger than the sum of its proper divisors (145988917276887).

313232323232313 is a wasteful number, since it uses less digits than its factorization.

313232323232313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166762 (or 2166759 counting only the distinct ones).

The product of its digits is 209952, while the sum is 36.

The spelling of 313232323232313 in words is "three hundred thirteen trillion, two hundred thirty-two billion, three hundred twenty-three million, two hundred thirty-two thousand, three hundred thirteen".