313420200 has 144 divisors (see below), whose sum is σ = 1026139680. Its totient is φ = 79125120.

The previous prime is 313420193. The next prime is 313420207. The reversal of 313420200 is 2024313.

313420200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (313420193) and next prime (313420207).

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 313420200.

It is not an unprimeable number, because it can be changed into a prime (313420207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215877 + ... + 217323.

It is an arithmetic number, because the mean of its divisors is an integer number (7125970).

Almost surely, 2^313420200 is an apocalyptic number.

313420200 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 313420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513069840).

313420200 is an abundant number, since it is smaller than the sum of its proper divisors (712719480).

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

313420200 is a wasteful number, since it uses less digits than its factorization.

313420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 313420200 is about 17703.6775840502. The cubic root of 313420200 is about 679.2698333166.

Adding to 313420200 its reverse (2024313), we get a palindrome (315444513).

The spelling of 313420200 in words is "three hundred thirteen million, four hundred twenty thousand, two hundred".