313130334 has 48 divisors (see below), whose sum is σ = 707034384. Its totient is φ = 92315520.

The previous prime is 313130333. The next prime is 313130339. The reversal of 313130334 is 433031313.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 313130334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313130333) 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, 21034 + ... + 32690.

It is an arithmetic number, because the mean of its divisors is an integer number (14729883).

Almost surely, 2^313130334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313130334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353517192).

313130334 is an abundant number, since it is smaller than the sum of its proper divisors (393904050).

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

313130334 is a wasteful number, since it uses less digits than its factorization.

313130334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11721 (or 11710 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 313130334 is about 17695.4890862050. The cubic root of 313130334 is about 679.0603616438.

Adding to 313130334 its reverse (433031313), we get a palindrome (746161647).

The spelling of 313130334 in words is "three hundred thirteen million, one hundred thirty thousand, three hundred thirty-four".