331316032320 has 1344 divisors, whose sum is σ = 1504720546560. Its totient is φ = 67972939776.

The previous prime is 331316032291. The next prime is 331316032363. The reversal of 331316032320 is 23230613133.

It is a happy number.

331316032320 is a `hidden beast` number, since 3 + 3 + 1 + 31 + 603 + 2 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 203635347 + ... + 203636973.

It is an arithmetic number, because the mean of its divisors is an integer number (1119583740).

Almost surely, 2^331316032320 is an apocalyptic number.

331316032320 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 331316032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752360273280).

331316032320 is an abundant number, since it is smaller than the sum of its proper divisors (1173404514240).

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

331316032320 is a wasteful number, since it uses less digits than its factorization.

331316032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 331316032320 its reverse (23230613133), we get a palindrome (354546645453).

The spelling of 331316032320 in words is "three hundred thirty-one billion, three hundred sixteen million, thirty-two thousand, three hundred twenty".