313104300 has 216 divisors, whose sum is σ = 1007029296. Its totient is φ = 74833920.

The previous prime is 313104217. The next prime is 313104301. The reversal of 313104300 is 3401313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 313104300.

It is not an unprimeable number, because it can be changed into a prime (313104301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4289064 + ... + 4289136.

Almost surely, 2^313104300 is an apocalyptic number.

313104300 is a gapful number since it is divisible by the number (30) 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 313104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503514648).

313104300 is an abundant number, since it is smaller than the sum of its proper divisors (693924996).

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

313104300 is a wasteful number, since it uses less digits than its factorization.

313104300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 313104300 is about 17694.7534597123. The cubic root of 313104300 is about 679.0415418474.

Adding to 313104300 its reverse (3401313), we get a palindrome (316505613).

It can be divided in two parts, 3 and 13104300, that multiplied together give a square (39312900 = 6270²).

The spelling of 313104300 in words is "three hundred thirteen million, one hundred four thousand, three hundred".