313344312320 has 176 divisors, whose sum is σ = 820580562480. Its totient is φ = 114109710336.

The previous prime is 313344312301. The next prime is 313344312329. The reversal of 313344312320 is 23213443313.

It can be written as a sum of positive squares in 8 ways, for example, as 9240592384 + 304103719936 = 96128^2 + 551456^2 .

It is not an unprimeable number, because it can be changed into a prime (313344312329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4826636 + ... + 4891124.

Almost surely, 2^313344312320 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 313344312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410290281240).

313344312320 is an abundant number, since it is smaller than the sum of its proper divisors (507236250160).

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

313344312320 is a wasteful number, since it uses less digits than its factorization.

313344312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64600 (or 64582 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 313344312320 its reverse (23213443313), we get a palindrome (336557755633).

The spelling of 313344312320 in words is "three hundred thirteen billion, three hundred forty-four million, three hundred twelve thousand, three hundred twenty".