313323221232 has 240 divisors, whose sum is σ = 1037380032000. Its totient is φ = 86376761856.

The previous prime is 313323221209. The next prime is 313323221303. The reversal of 313323221232 is 232122323313.

313323221232 is a `hidden beast` number, since 3 + 1 + 332 + 322 + 1 + 2 + 3 + 2 = 666.

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 = 313323221196 and 313323221205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63694069 + ... + 63698987.

It is an arithmetic number, because the mean of its divisors is an integer number (4322416800).

Almost surely, 2^313323221232 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 313323221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518690016000).

313323221232 is an abundant number, since it is smaller than the sum of its proper divisors (724056810768).

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

313323221232 is a wasteful number, since it uses less digits than its factorization.

313323221232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7148 (or 7139 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 313323221232 its reverse (232122323313), we get a palindrome (545445544545).

The spelling of 313323221232 in words is "three hundred thirteen billion, three hundred twenty-three million, two hundred twenty-one thousand, two hundred thirty-two".