313241152224 has 576 divisors, whose sum is σ = 1139297322240. Its totient is φ = 74062356480.

The previous prime is 313241152187. The next prime is 313241152229. The reversal of 313241152224 is 422251142313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 313241152191 and 313241152200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313241152229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49101867 + ... + 49108245.

It is an arithmetic number, because the mean of its divisors is an integer number (1977946740).

Almost surely, 2^313241152224 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 313241152224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569648661120).

313241152224 is an abundant number, since it is smaller than the sum of its proper divisors (826056170016).

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

313241152224 is a wasteful number, since it uses less digits than its factorization.

313241152224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6503 (or 6488 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 313241152224 its reverse (422251142313), we get a palindrome (735492294537).

The spelling of 313241152224 in words is "three hundred thirteen billion, two hundred forty-one million, one hundred fifty-two thousand, two hundred twenty-four".