313320133322000 has 160 divisors (see below), whose sum is σ = 865975989465600. Its totient is φ = 107406901670400.

The previous prime is 313320133321981. The next prime is 313320133322011. The reversal of 313320133322000 is 223331023313.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86095301 + ... + 89660699.

It is an arithmetic number, because the mean of its divisors is an integer number (5412349934160).

Almost surely, 2^{313320133322000} 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 313320133322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432987994732800).

313320133322000 is an abundant number, since it is smaller than the sum of its proper divisors (552655856143600).

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

313320133322000 is a wasteful number, since it uses less digits than its factorization.

313320133322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571706 (or 3571690 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 313320133322000 its reverse (223331023313), we get a palindrome (313543464345313).

The spelling of 313320133322000 in words is "three hundred thirteen trillion, three hundred twenty billion, one hundred thirty-three million, three hundred twenty-two thousand".