313135104 has 104 divisors (see below), whose sum is σ = 884628000. Its totient is φ = 98172928.

The previous prime is 313135079. The next prime is 313135111. The reversal of 313135104 is 401531313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208147 + ... + 209645.

Almost surely, 2^313135104 is an apocalyptic number.

313135104 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 313135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442314000).

313135104 is an abundant number, since it is smaller than the sum of its proper divisors (571492896).

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

313135104 is a wasteful number, since it uses less digits than its factorization.

313135104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 313135104 is about 17695.6238658037. The cubic root of 313135104 is about 679.0638097304.

Adding to 313135104 its reverse (401531313), we get a palindrome (714666417).

The spelling of 313135104 in words is "three hundred thirteen million, one hundred thirty-five thousand, one hundred four".