313340220320 has 96 divisors (see below), whose sum is σ = 777192216192. Its totient is φ = 119150963712.

The previous prime is 313340220233. The next prime is 313340220329. The reversal of 313340220320 is 23022043313.

It is a super-2 number, since 2×313340220320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (313340220329) 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, 338654 + ... + 861026.

It is an arithmetic number, because the mean of its divisors is an integer number (8095752252).

Almost surely, 2^313340220320 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 313340220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388596108096).

313340220320 is an abundant number, since it is smaller than the sum of its proper divisors (463851995872).

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

313340220320 is a wasteful number, since it uses less digits than its factorization.

313340220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522574 (or 522566 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 313340220320 its reverse (23022043313), we get a palindrome (336362263633).

The spelling of 313340220320 in words is "three hundred thirteen billion, three hundred forty million, two hundred twenty thousand, three hundred twenty".