313320313320 has 256 divisors, whose sum is σ = 1087895508480. Its totient is φ = 70709760000.

The previous prime is 313320313309. The next prime is 313320313363. The reversal of 313320313320 is 23313023313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31640370 + ... + 31650270.

It is an arithmetic number, because the mean of its divisors is an integer number (4249591830).

Almost surely, 2^313320313320 is an apocalyptic number.

313320313320 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 313320313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543947754240).

313320313320 is an abundant number, since it is smaller than the sum of its proper divisors (774575195160).

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

313320313320 is a wasteful number, since it uses less digits than its factorization.

313320313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10396 (or 10392 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 313320313320 its reverse (23313023313), we get a palindrome (336633336633).

It can be divided in two parts, 313320 and 313320, that added together give a triangular number (626640 = T₁₁₁₉).

The spelling of 313320313320 in words is "three hundred thirteen billion, three hundred twenty million, three hundred thirteen thousand, three hundred twenty".