313134100 has 72 divisors (see below), whose sum is σ = 710454528. Its totient is φ = 119654400.

The previous prime is 313134091. The next prime is 313134103. The reversal of 313134100 is 1431313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313134103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256692 + ... + 257908.

It is an arithmetic number, because the mean of its divisors is an integer number (9867424).

Almost surely, 2^313134100 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 313134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355227264).

313134100 is an abundant number, since it is smaller than the sum of its proper divisors (397320428).

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

313134100 is a wasteful number, since it uses less digits than its factorization.

313134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 313134100 is about 17695.5954971852. The cubic root of 313134100 is about 679.0630839725.

Adding to 313134100 its reverse (1431313), we get a palindrome (314565413).

The spelling of 313134100 in words is "three hundred thirteen million, one hundred thirty-four thousand, one hundred".