320413123244313 has 48 divisors (see below), whose sum is σ = 505164657816000. Its totient is φ = 194085455667840.

The previous prime is 320413123244261. The next prime is 320413123244321. The reversal of 320413123244313 is 313442321314023.

320413123244313 is a `hidden beast` number, since 3 + 2 + 0 + 4 + 1 + 3 + 12 + 324 + 4 + 313 = 666.

It is not a de Polignac number, because 320413123244313 - 2⁴⁰ = 319313611616537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (320413123244363) 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, 4421345643 + ... + 4421418111.

It is an arithmetic number, because the mean of its divisors is an integer number (10524263704500).

Almost surely, 2^{320413123244313} is an apocalyptic number.

320413123244313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

320413123244313 is a deficient number, since it is larger than the sum of its proper divisors (184751534571687).

320413123244313 is a wasteful number, since it uses less digits than its factorization.

320413123244313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95862 (or 95859 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 320413123244313 its reverse (313442321314023), we get a palindrome (633855444558336).

The spelling of 320413123244313 in words is "three hundred twenty trillion, four hundred thirteen billion, one hundred twenty-three million, two hundred forty-four thousand, three hundred thirteen".