313331142010224 has 480 divisors, whose sum is σ = 891110718406656. Its totient is φ = 94818328151040.

The previous prime is 313331142010223. The next prime is 313331142010241. The reversal of 313331142010224 is 422010241133313.

It is a junction number, because it is equal to n+sod(n) for n = 313331142010191 and 313331142010200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313331142010223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66341547927 + ... + 66341552649.

Almost surely, 2^{313331142010224} 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 313331142010224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445555359203328).

313331142010224 is an abundant number, since it is smaller than the sum of its proper divisors (577779576396432).

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

313331142010224 is a wasteful number, since it uses less digits than its factorization.

313331142010224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5437 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 313331142010224 its reverse (422010241133313), we get a palindrome (735341383143537).

The spelling of 313331142010224 in words is "three hundred thirteen trillion, three hundred thirty-one billion, one hundred forty-two million, ten thousand, two hundred twenty-four".