313320120300 has 144 divisors (see below), whose sum is σ = 1098835920000. Its totient is φ = 75956385600.

The previous prime is 313320120271. The next prime is 313320120307. The reversal of 313320120300 is 3021023313.

313320120300 is a `hidden beast` number, since 31 + 3 + 320 + 12 + 0 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (313320120307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5245050 + ... + 5304449.

It is an arithmetic number, because the mean of its divisors is an integer number (7630805000).

Almost surely, 2^313320120300 is an apocalyptic number.

313320120300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313320120300 is an abundant number, since it is smaller than the sum of its proper divisors (785515799700).

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

313320120300 is a wasteful number, since it uses less digits than its factorization.

313320120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10549533 (or 10549520 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 313320120300 its reverse (3021023313), we get a palindrome (316341143613).

The spelling of 313320120300 in words is "three hundred thirteen billion, three hundred twenty million, one hundred twenty thousand, three hundred".