313224002322 has 192 divisors, whose sum is σ = 805751452800. Its totient is φ = 80259379200.

The previous prime is 313224002233. The next prime is 313224002327. The reversal of 313224002322 is 223200422313.

It is a super-2 number, since 2×313224002322² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313224002292 and 313224002301.

It is not an unprimeable number, because it can be changed into a prime (313224002327) 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, 109479172 + ... + 109482032.

It is an arithmetic number, because the mean of its divisors is an integer number (4196622150).

Almost surely, 2^313224002322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313224002322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402875726400).

313224002322 is an abundant number, since it is smaller than the sum of its proper divisors (492527450478).

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

313224002322 is a wasteful number, since it uses less digits than its factorization.

313224002322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 313224002322 its reverse (223200422313), we get a palindrome (536424424635).

The spelling of 313224002322 in words is "three hundred thirteen billion, two hundred twenty-four million, two thousand, three hundred twenty-two".