313031120 has 40 divisors (see below), whose sum is σ = 732709800. Its totient is φ = 124367360.

The previous prime is 313031113. The next prime is 313031123. The reversal of 313031120 is 21130313.

It can be written as a sum of positive squares in 4 ways, for example, as 19114384 + 293916736 = 4372^2 + 17144^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 313031095 and 313031104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313031123) 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, 1211 + ... + 25050.

It is an arithmetic number, because the mean of its divisors is an integer number (18317745).

Almost surely, 2^313031120 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 313031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366354900).

313031120 is an abundant number, since it is smaller than the sum of its proper divisors (419678680).

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

313031120 is a wasteful number, since it uses less digits than its factorization.

313031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26423 (or 26417 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 313031120 is about 17692.6854942940. The cubic root of 313031120 is about 678.9886349492.

Adding to 313031120 its reverse (21130313), we get a palindrome (334161433).

It can be divided in two parts, 31303 and 1120, that added together give a palindrome (32423).

The spelling of 313031120 in words is "three hundred thirteen million, thirty-one thousand, one hundred twenty".