313007112 has 128 divisors (see below), whose sum is σ = 958464000. Its totient is φ = 93856320.

The previous prime is 313007081. The next prime is 313007113. The reversal of 313007112 is 211700313.

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

It is not an unprimeable number, because it can be changed into a prime (313007113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244089 + ... + 245367.

It is an arithmetic number, because the mean of its divisors is an integer number (7488000).

Almost surely, 2^313007112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313007112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479232000).

313007112 is an abundant number, since it is smaller than the sum of its proper divisors (645456888).

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

313007112 is a wasteful number, since it uses less digits than its factorization.

313007112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 313007112 is about 17692.0070088162. The cubic root of 313007112 is about 678.9712761044.

Adding to 313007112 its reverse (211700313), we get a palindrome (524707425).

The spelling of 313007112 in words is "three hundred thirteen million, seven thousand, one hundred twelve".