313324006320 has 960 divisors, whose sum is σ = 1208922624000. Its totient is φ = 72181186560.

The previous prime is 313324006277. The next prime is 313324006337. The reversal of 313324006320 is 23600423313.

It is a happy number.

313324006320 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 24 + 0 + 0 + 632 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 2102845606 + ... + 2102845754.

It is an arithmetic number, because the mean of its divisors is an integer number (1259294400).

Almost surely, 2^313324006320 is an apocalyptic number.

313324006320 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 313324006320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604461312000).

313324006320 is an abundant number, since it is smaller than the sum of its proper divisors (895598617680).

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

313324006320 is a wasteful number, since it uses less digits than its factorization.

313324006320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 313324006320 its reverse (23600423313), we get a palindrome (336924429633).

The spelling of 313324006320 in words is "three hundred thirteen billion, three hundred twenty-four million, six thousand, three hundred twenty".