6313000321320 has 512 divisors, whose sum is σ = 24915796992000. Its totient is φ = 1240655708160.

The previous prime is 6313000321307. The next prime is 6313000321363. The reversal of 6313000321320 is 231230003136.

It is a happy number.

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

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 127 ways as a sum of consecutive naturals, for example, 18747396 + ... + 19081164.

It is an arithmetic number, because the mean of its divisors is an integer number (48663666000).

Almost surely, 2^{6313000321320} is an apocalyptic number.

6313000321320 is a gapful number since it is divisible by the number (60) 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 6313000321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12457898496000).

6313000321320 is an abundant number, since it is smaller than the sum of its proper divisors (18602796670680).

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

6313000321320 is a wasteful number, since it uses less digits than its factorization.

6313000321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333913 (or 333909 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 6313000321320 its reverse (231230003136), we get a palindrome (6544230324456).

The spelling of 6313000321320 in words is "six trillion, three hundred thirteen billion, three hundred twenty-one thousand, three hundred twenty".