313204401 has 48 divisors (see below), whose sum is σ = 485424576. Its totient is φ = 201704256.

The previous prime is 313204393. The next prime is 313204421. The reversal of 313204401 is 104402313.

It is not a de Polignac number, because 313204401 - 2³ = 313204393 is a prime.

It is a super-3 number, since 3×313204401³ (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (313204421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1068811 + ... + 1069103.

It is an arithmetic number, because the mean of its divisors is an integer number (10113012).

Almost surely, 2^313204401 is an apocalyptic number.

It is an amenable number.

313204401 is a deficient number, since it is larger than the sum of its proper divisors (172220175).

313204401 is an equidigital number, since it uses as much as digits as its factorization.

313204401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 313204401 is about 17697.5817839613. The cubic root of 313204401 is about 679.1138984550.

Adding to 313204401 its reverse (104402313), we get a palindrome (417606714).

It can be divided in two parts, 31320 and 4401, that added together give a square (35721 = 189²).

The spelling of 313204401 in words is "three hundred thirteen million, two hundred four thousand, four hundred one".