313000242120 has 96 divisors (see below), whose sum is σ = 1054926774720. Its totient is φ = 83466728640.

The previous prime is 313000242109. The next prime is 313000242143. The reversal of 313000242120 is 21242000313.

313000242120 is a `hidden beast` number, since 3 + 1 + 300 + 0 + 242 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 313000242093 and 313000242102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16091116 + ... + 16110555.

It is an arithmetic number, because the mean of its divisors is an integer number (10988820570).

Almost surely, 2^313000242120 is an apocalyptic number.

313000242120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313000242120 is an abundant number, since it is smaller than the sum of its proper divisors (741926532600).

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

313000242120 is a wasteful number, since it uses less digits than its factorization.

313000242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32201697 (or 32201681 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 313000242120 its reverse (21242000313), we get a palindrome (334242242433).

The spelling of 313000242120 in words is "three hundred thirteen billion, two hundred forty-two thousand, one hundred twenty".