313313000 has 256 divisors, whose sum is σ = 987517440. Its totient is φ = 89856000.

The previous prime is 313312997. The next prime is 313313023. The reversal of 313313000 is 313313.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1000844 + ... + 1001156.

It is an arithmetic number, because the mean of its divisors is an integer number (3857490).

Almost surely, 2^313313000 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 313313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493758720).

313313000 is an abundant number, since it is smaller than the sum of its proper divisors (674204440).

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

313313000 is a wasteful number, since it uses less digits than its factorization.

313313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 313313000 is about 17700.6497055899. The cubic root of 313313000 is about 679.1923802895.

Adding to 313313000 its reverse (313313), we get a palindrome (313626313).

313313000 divided by its reverse (313313) gives a cube (1000 = 10³).

It can be divided in two parts, 313 and 313000, that added together give a palindrome (313313).

The spelling of 313313000 in words is "three hundred thirteen million, three hundred thirteen thousand".