313431104 has 56 divisors (see below), whose sum is σ = 714012288. Its totient is φ = 133724160.

The previous prime is 313431089. The next prime is 313431149. The reversal of 313431104 is 401134313.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106517 + ... + 109419.

Almost surely, 2^313431104 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 313431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357006144).

313431104 is an abundant number, since it is smaller than the sum of its proper divisors (400581184).

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

313431104 is a wasteful number, since it uses less digits than its factorization.

313431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 313431104 is about 17703.9855399851. The cubic root of 313431104 is about 679.2777105714.

Adding to 313431104 its reverse (401134313), we get a palindrome (714565417).

The spelling of 313431104 in words is "three hundred thirteen million, four hundred thirty-one thousand, one hundred four".