331123300011300 has 144 divisors (see below), whose sum is σ = 963380148599232. Its totient is φ = 87808333708800.

The previous prime is 331123300011247. The next prime is 331123300011307. The reversal of 331123300011300 is 3110003321133.

It is not an unprimeable number, because it can be changed into a prime (331123300011307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1621676014 + ... + 1621880186.

It is an arithmetic number, because the mean of its divisors is an integer number (6690139920828).

Almost surely, 2^{331123300011300} is an apocalyptic number.

331123300011300 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 331123300011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481690074299616).

331123300011300 is an abundant number, since it is smaller than the sum of its proper divisors (632256848587932).

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

331123300011300 is a wasteful number, since it uses less digits than its factorization.

331123300011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234238 (or 234231 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 331123300011300 its reverse (3110003321133), we get a palindrome (334233303332433).

The spelling of 331123300011300 in words is "three hundred thirty-one trillion, one hundred twenty-three billion, three hundred million, eleven thousand, three hundred".