313303200 has 288 divisors, whose sum is σ = 1235170944. Its totient is φ = 67338240.

The previous prime is 313303147. The next prime is 313303201. The reversal of 313303200 is 2303313.

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 313303200.

It is not an unprimeable number, because it can be changed into a prime (313303201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285052 + ... + 286148.

It is an arithmetic number, because the mean of its divisors is an integer number (4288788).

Almost surely, 2^313303200 is an apocalyptic number.

313303200 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 313303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617585472).

313303200 is an abundant number, since it is smaller than the sum of its proper divisors (921867744).

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

313303200 is a wasteful number, since it uses less digits than its factorization.

313303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 313303200 is about 17700.3728774283. The cubic root of 313303200 is about 679.1852988143.

Adding to 313303200 its reverse (2303313), we get a palindrome (315606513).

The spelling of 313303200 in words is "three hundred thirteen million, three hundred three thousand, two hundred".