200313120 has 96 divisors (see below), whose sum is σ = 721139328. Its totient is φ = 45785088.

The previous prime is 200313119. The next prime is 200313131. The reversal of 200313120 is 21313002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200313096 and 200313105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26449 + ... + 33168.

It is an arithmetic number, because the mean of its divisors is an integer number (7511868).

Almost surely, 2^200313120 is an apocalyptic number.

200313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200313120 is an abundant number, since it is smaller than the sum of its proper divisors (520826208).

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

200313120 is a wasteful number, since it uses less digits than its factorization.

200313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59642 (or 59634 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 200313120 is about 14153.2017579062. The cubic root of 200313120 is about 585.1085779908.

Adding to 200313120 its reverse (21313002), we get a palindrome (221626122).

The spelling of 200313120 in words is "two hundred million, three hundred thirteen thousand, one hundred twenty".