31330304000 has 128 divisors (see below), whose sum is σ = 78209469000. Its totient is φ = 12530483200.

The previous prime is 31330303999. The next prime is 31330304021. The reversal of 31330304000 is 40303313.

It can be written as a sum of positive squares in 4 ways, for example, as 2479243264 + 28851060736 = 49792^2 + 169856^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 31330304000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4092176 + ... + 4099824.

Almost surely, 2^31330304000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31330304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39104734500).

31330304000 is an abundant number, since it is smaller than the sum of its proper divisors (46879165000).

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

31330304000 is an frugal number, since it uses more digits than its factorization.

31330304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7694 (or 7656 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 31330304000 its reverse (40303313), we get a palindrome (31370607313).

The spelling of 31330304000 in words is "thirty-one billion, three hundred thirty million, three hundred four thousand".