331111330000000 has 512 divisors, whose sum is σ = 908437565018880. Its totient is φ = 119208000000000.

The previous prime is 331111329999937. The next prime is 331111330000027. The reversal of 331111330000000 is 33111133.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11109985099 + ... + 11110014901.

Almost surely, 2^{331111330000000} 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 331111330000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454218782509440).

331111330000000 is an abundant number, since it is smaller than the sum of its proper divisors (577326235018880).

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

331111330000000 is an frugal number, since it uses more digits than its factorization.

331111330000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29964 (or 29922 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 331111330000000 its reverse (33111133), we get a palindrome (331111363111133).

331111330000000 divided by its reverse (33111133) gives a 7-th power (10000000 = 10⁷).

It can be divided in two parts, 3311 and 11330000000, that added together give a palindrome (11330003311).

The spelling of 331111330000000 in words is "three hundred thirty-one trillion, one hundred eleven billion, three hundred thirty million", and thus it is an aban number.