331013133300000 has 576 divisors, whose sum is σ = 1118629640620800. Its totient is φ = 85637399040000.

The previous prime is 331013133299951. The next prime is 331013133300007. The reversal of 331013133300000 is 3331310133.

It is a self number, because there is not a number n which added to its sum of digits gives 331013133300000.

It is not an unprimeable number, because it can be changed into a prime (331013133300007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3873857277 + ... + 3873942723.

It is an arithmetic number, because the mean of its divisors is an integer number (1942065348300).

Almost surely, 2^{331013133300000} is an apocalyptic number.

331013133300000 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 331013133300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559314820310400).

331013133300000 is an abundant number, since it is smaller than the sum of its proper divisors (787616507320800).

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

331013133300000 is an equidigital number, since it uses as much as digits as its factorization.

331013133300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85871 (or 85843 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 331013133300000 its reverse (3331310133), we get a palindrome (331016464610133).

It can be divided in two parts, 331013133 and 300000, that added together give a palindrome (331313133).

The spelling of 331013133300000 in words is "three hundred thirty-one trillion, thirteen billion, one hundred thirty-three million, three hundred thousand".