313131104 has 96 divisors (see below), whose sum is σ = 742361760. Its totient is φ = 128102400.

The previous prime is 313131089. The next prime is 313131107. The reversal of 313131104 is 401131313.

313131104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313131107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186782 + ... + 188450.

It is an arithmetic number, because the mean of its divisors is an integer number (7732935).

Almost surely, 2^313131104 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 313131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371180880).

313131104 is an abundant number, since it is smaller than the sum of its proper divisors (429230656).

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

313131104 is a wasteful number, since it uses less digits than its factorization.

313131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 313131104 is about 17695.5108431489. The cubic root of 313131104 is about 679.0609182556.

Adding to 313131104 its reverse (401131313), we get a palindrome (714262417).

The spelling of 313131104 in words is "three hundred thirteen million, one hundred thirty-one thousand, one hundred four".