331011113320000 has 280 divisors, whose sum is σ = 869249607054840. Its totient is φ = 124591964160000.

The previous prime is 331011113319959. The next prime is 331011113320057. The reversal of 331011113320000 is 23311110133.

It can be written as a sum of positive squares in 20 ways, for example, as 323670611759104 + 7340501560896 = 17990848^2 + 2709336^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 331011113320000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3754235916 + ... + 3754324084.

Almost surely, 2^{331011113320000} 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 331011113320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434624803527420).

331011113320000 is an abundant number, since it is smaller than the sum of its proper divisors (538238493734840).

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

331011113320000 is an equidigital number, since it uses as much as digits as its factorization.

331011113320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93739 (or 93714 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 331011113320000 its reverse (23311110133), we get a palindrome (331034424430133).

The spelling of 331011113320000 in words is "three hundred thirty-one trillion, eleven billion, one hundred thirteen million, three hundred twenty thousand".