313320000 has 280 divisors, whose sum is σ = 1187070016. Its totient is φ = 71424000.

The previous prime is 313319999. The next prime is 313320023. The reversal of 313320000 is 23313.

It is a happy number.

313320000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (280).

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

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 39 ways as a sum of consecutive naturals, for example, 839814 + ... + 840186.

Almost surely, 2^313320000 is an apocalyptic number.

313320000 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 313320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593535008).

313320000 is an abundant number, since it is smaller than the sum of its proper divisors (873750016).

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

313320000 is an equidigital number, since it uses as much as digits as its factorization.

313320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 313320000 is about 17700.8474373404. The cubic root of 313320000 is about 679.1974383957.

Adding to 313320000 its reverse (23313), we get a palindrome (313343313).

The spelling of 313320000 in words is "three hundred thirteen million, three hundred twenty thousand".