313001320 has 32 divisors (see below), whose sum is σ = 708993000. Its totient is φ = 124357888.

The previous prime is 313001303. The next prime is 313001333. The reversal of 313001320 is 23100313.

313001320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 179506404 + 133494916 = 13398^2 + 11554^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 313001320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20299 + ... + 32218.

Almost surely, 2^313001320 is an apocalyptic number.

It is an amenable number.

313001320 is an abundant number, since it is smaller than the sum of its proper divisors (395991680).

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

313001320 is a wasteful number, since it uses less digits than its factorization.

313001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52677 (or 52673 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 313001320 is about 17691.8433183205. The cubic root of 313001320 is about 678.9670880996.

Adding to 313001320 its reverse (23100313), we get a palindrome (336101633).

The spelling of 313001320 in words is "three hundred thirteen million, one thousand, three hundred twenty".