331320000 has 280 divisors, whose sum is σ = 1199765952. Its totient is φ = 80000000.

The previous prime is 331319999. The next prime is 331320001. The reversal of 331320000 is 23133.

It is a happy number.

331320000 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 (331319999) and next prime (331320001).

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

It is not an unprimeable number, because it can be changed into a prime (331320001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1319875 + ... + 1320125.

Almost surely, 2^331320000 is an apocalyptic number.

331320000 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 331320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599882976).

331320000 is an abundant number, since it is smaller than the sum of its proper divisors (868445952).

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

331320000 is a wasteful number, since it uses less digits than its factorization.

331320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 272 counting only the distinct ones).

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

The square root of 331320000 is about 18202.1976695123. The cubic root of 331320000 is about 691.9624869682.

Adding to 331320000 its reverse (23133), we get a palindrome (331343133).

It can be divided in two parts, 33 and 1320000, that multiplied together give a square (43560000 = 6600²).

The spelling of 331320000 in words is "three hundred thirty-one million, three hundred twenty thousand".