313005120 has 112 divisors (see below), whose sum is σ = 1028151360. Its totient is φ = 80582656.

The previous prime is 313005113. The next prime is 313005157. The reversal of 313005120 is 21500313.

It is a happy number.

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 313005120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22219 + ... + 33461.

Almost surely, 2^313005120 is an apocalyptic number.

313005120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514075680).

313005120 is an abundant number, since it is smaller than the sum of its proper divisors (715146240).

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

313005120 is a wasteful number, since it uses less digits than its factorization.

313005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11292 (or 11282 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 313005120 is about 17691.9507121176. The cubic root of 313005120 is about 678.9698357605.

Adding to 313005120 its reverse (21500313), we get a palindrome (334505433).

The spelling of 313005120 in words is "three hundred thirteen million, five thousand, one hundred twenty".