313312233311120 has 40 divisors (see below), whose sum is σ = 728454745801464. Its totient is φ = 125324238984192.

The previous prime is 313312233311111. The next prime is 313312233311123. The reversal of 313312233311120 is 21113332213313.

It can be written as a sum of positive squares in 4 ways, for example, as 55986489337744 + 257325743973376 = 7482412^2 + 16041376^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (313312233311123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5341172 + ... + 25595948.

Almost surely, 2^{313312233311120} is an apocalyptic number.

It is an amenable number.

313312233311120 is an abundant number, since it is smaller than the sum of its proper divisors (415142512490344).

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

313312233311120 is a wasteful number, since it uses less digits than its factorization.

313312233311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20448147 (or 20448141 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 313312233311120 its reverse (21113332213313), we get a palindrome (334425565524433).

The spelling of 313312233311120 in words is "three hundred thirteen trillion, three hundred twelve billion, two hundred thirty-three million, three hundred eleven thousand, one hundred twenty".