313330401 has 12 divisors (see below), whose sum is σ = 453700260. Its totient is φ = 208373760.

The previous prime is 313330399. The next prime is 313330439. The reversal of 313330401 is 104033313.

It can be written as a sum of positive squares in 2 ways, for example, as 288320400 + 25010001 = 16980^2 + 5001^2 .

It is not a de Polignac number, because 313330401 - 2¹ = 313330399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313330441) 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 11 ways as a sum of consecutive naturals, for example, 38880 + ... + 46241.

It is an arithmetic number, because the mean of its divisors is an integer number (37808355).

Almost surely, 2^313330401 is an apocalyptic number.

It is an amenable number.

313330401 is a deficient number, since it is larger than the sum of its proper divisors (140369859).

313330401 is a wasteful number, since it uses less digits than its factorization.

313330401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85536 (or 85533 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 313330401 is about 17701.1412343950. The cubic root of 313330401 is about 679.2049538797.

Adding to 313330401 its reverse (104033313), we get a palindrome (417363714).

The spelling of 313330401 in words is "three hundred thirteen million, three hundred thirty thousand, four hundred one".