313320375144 has 48 divisors (see below), whose sum is σ = 969801162720. Its totient is φ = 89520107040.

The previous prime is 313320375113. The next prime is 313320375149. The reversal of 313320375144 is 441573023313.

313320375144 is a `hidden beast` number, since 3 + 133 + 2 + 0 + 3 + 7 + 514 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 313320375099 and 313320375108.

It is not an unprimeable number, because it can be changed into a prime (313320375149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310833202 + ... + 310834209.

It is an arithmetic number, because the mean of its divisors is an integer number (20204190890).

Almost surely, 2^313320375144 is an apocalyptic number.

It is an amenable number.

313320375144 is an abundant number, since it is smaller than the sum of its proper divisors (656480787576).

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

313320375144 is a wasteful number, since it uses less digits than its factorization.

313320375144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621667430 (or 621667423 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 313320375144 its reverse (441573023313), we get a palindrome (754893398457).

The spelling of 313320375144 in words is "three hundred thirteen billion, three hundred twenty million, three hundred seventy-five thousand, one hundred forty-four".