313331242224 has 1280 divisors, whose sum is σ = 1191603732480. Its totient is φ = 68319313920.

The previous prime is 313331242223. The next prime is 313331242249. The reversal of 313331242224 is 422242133313.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 313331242191 and 313331242200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313331242223) 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 255 ways as a sum of consecutive naturals, for example, 3230218944 + ... + 3230219040.

It is an arithmetic number, because the mean of its divisors is an integer number (930940416).

Almost surely, 2^313331242224 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 313331242224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595801866240).

313331242224 is an abundant number, since it is smaller than the sum of its proper divisors (878272490256).

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

313331242224 is a wasteful number, since it uses less digits than its factorization.

313331242224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 313331242224 its reverse (422242133313), we get a palindrome (735573375537).

It can be divided in two parts, 313331 and 242224, that added together give a palindrome (555555).

The spelling of 313331242224 in words is "three hundred thirteen billion, three hundred thirty-one million, two hundred forty-two thousand, two hundred twenty-four".