313014120 has 64 divisors (see below), whose sum is σ = 940464000. Its totient is φ = 83344128.

The previous prime is 313014109. The next prime is 313014133. The reversal of 313014120 is 21410313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 313014120.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 99126 + ... + 102234.

It is an arithmetic number, because the mean of its divisors is an integer number (14694750).

Almost surely, 2^313014120 is an apocalyptic number.

313014120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313014120 is an abundant number, since it is smaller than the sum of its proper divisors (627449880).

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

313014120 is a wasteful number, since it uses less digits than its factorization.

313014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 313014120 is about 17692.2050632475. The cubic root of 313014120 is about 678.9763432898.

Adding to 313014120 its reverse (21410313), we get a palindrome (334424433).

The spelling of 313014120 in words is "three hundred thirteen million, fourteen thousand, one hundred twenty".