313123221120 has 256 divisors, whose sum is σ = 1026966355200. Its totient is φ = 81091362816.

The previous prime is 313123220989. The next prime is 313123221121. The reversal of 313123221120 is 21122321313.

It is not an unprimeable number, because it can be changed into a prime (313123221121) 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 31 ways as a sum of consecutive naturals, for example, 40986261 + ... + 40993899.

It is an arithmetic number, because the mean of its divisors is an integer number (4011587325).

Almost surely, 2^313123221120 is an apocalyptic number.

313123221120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313123221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513483177600).

313123221120 is an abundant number, since it is smaller than the sum of its proper divisors (713843134080).

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

313123221120 is a wasteful number, since it uses less digits than its factorization.

313123221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275 (or 8263 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 313123221120 its reverse (21122321313), we get a palindrome (334245542433).

The spelling of 313123221120 in words is "three hundred thirteen billion, one hundred twenty-three million, two hundred twenty-one thousand, one hundred twenty".