313320960000 has 650 divisors, whose sum is σ = 1170375228792. Its totient is φ = 83496960000.

The previous prime is 313320959989. The next prime is 313320960037. The reversal of 313320960000 is 69023313.

313320960000 is a `hidden beast` number, since 3 + 1 + 33 + 20 + 9 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 207359245 + ... + 207360755.

Almost surely, 2^313320960000 is an apocalyptic number.

313320960000 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 313320960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585187614396).

313320960000 is an abundant number, since it is smaller than the sum of its proper divisors (857054268792).

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

313320960000 is an frugal number, since it uses more digits than its factorization.

313320960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 313320960000 its reverse (69023313), we get a palindrome (313389983313).

The spelling of 313320960000 in words is "three hundred thirteen billion, three hundred twenty million, nine hundred sixty thousand".