313321120 has 48 divisors (see below), whose sum is σ = 845970048. Its totient is φ = 107424000.

The previous prime is 313321081. The next prime is 313321121. The reversal of 313321120 is 21123313.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 313321094 and 313321103.

It is not an unprimeable number, because it can be changed into a prime (313321121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138756 + ... + 140995.

It is an arithmetic number, because the mean of its divisors is an integer number (17624376).

Almost surely, 2^313321120 is an apocalyptic number.

It is an amenable number.

313321120 is an abundant number, since it is smaller than the sum of its proper divisors (532648928).

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

313321120 is a wasteful number, since it uses less digits than its factorization.

313321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279773 (or 279765 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 313321120 is about 17700.8790742155. The cubic root of 313321120 is about 679.1982476857.

Adding to 313321120 its reverse (21123313), we get a palindrome (334444433).

The spelling of 313321120 in words is "three hundred thirteen million, three hundred twenty-one thousand, one hundred twenty".