313423302034224 has 200 divisors, whose sum is σ = 918812693898000. Its totient is φ = 103133657493504.

The previous prime is 313423302034207. The next prime is 313423302034277. The reversal of 313423302034224 is 422430203324313.

313423302034224 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 2 + 3 + 302 + 0 + 342 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69203032 + ... + 73592840.

It is an arithmetic number, because the mean of its divisors is an integer number (4594063469490).

Almost surely, 2^{313423302034224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313423302034224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459406346949000).

313423302034224 is an abundant number, since it is smaller than the sum of its proper divisors (605389391863776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313423302034224 is a wasteful number, since it uses less digits than its factorization.

313423302034224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390537 (or 4390522 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 313423302034224 its reverse (422430203324313), we get a palindrome (735853505358537).

The spelling of 313423302034224 in words is "three hundred thirteen trillion, four hundred twenty-three billion, three hundred two million, thirty-four thousand, two hundred twenty-four".