313201404 has 120 divisors (see below), whose sum is σ = 877071888. Its totient is φ = 97113600.

The previous prime is 313201393. The next prime is 313201409. The reversal of 313201404 is 404102313.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313201409) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 556027 + ... + 556589.

Almost surely, 2^313201404 is an apocalyptic number.

313201404 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313201404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438535944).

313201404 is an abundant number, since it is smaller than the sum of its proper divisors (563870484).

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

313201404 is a wasteful number, since it uses less digits than its factorization.

313201404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 686 counting only the distinct ones).

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

The square root of 313201404 is about 17697.4971111737. The cubic root of 313201404 is about 679.1117323394. Note that the first 3 decimals are identical.

Adding to 313201404 its reverse (404102313), we get a palindrome (717303717).

Subtracting 313201404 from its reverse (404102313), we obtain a palindrome (90900909).

The spelling of 313201404 in words is "three hundred thirteen million, two hundred one thousand, four hundred four".