313320223320 has 128 divisors (see below), whose sum is σ = 1013416185600. Its totient is φ = 77037295104.

The previous prime is 313320223319. The next prime is 313320223343. The reversal of 313320223320 is 23322023313.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1263751 + ... + 1491209.

It is an arithmetic number, because the mean of its divisors is an integer number (7917313950).

Almost surely, 2^313320223320 is an apocalyptic number.

313320223320 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 313320223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506708092800).

313320223320 is an abundant number, since it is smaller than the sum of its proper divisors (700095962280).

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

313320223320 is a wasteful number, since it uses less digits than its factorization.

313320223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228369 (or 228365 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 313320223320 its reverse (23322023313), we get a palindrome (336642246633).

The spelling of 313320223320 in words is "three hundred thirteen billion, three hundred twenty million, two hundred twenty-three thousand, three hundred twenty".