331022130000100 has 288 divisors, whose sum is σ = 927436212783360. Its totient is φ = 99511566336000.

The previous prime is 331022130000031. The next prime is 331022130000101. The reversal of 331022130000100 is 1000031220133.

It is not an unprimeable number, because it can be changed into a prime (331022130000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208441060 + ... + 210023140.

It is an arithmetic number, because the mean of its divisors is an integer number (3220264627720).

Almost surely, 2^{331022130000100} 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 331022130000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463718106391680).

331022130000100 is an abundant number, since it is smaller than the sum of its proper divisors (596414082783260).

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

331022130000100 is a wasteful number, since it uses less digits than its factorization.

331022130000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583079 (or 1583072 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 331022130000100 its reverse (1000031220133), we get a palindrome (332022161220233).

The spelling of 331022130000100 in words is "three hundred thirty-one trillion, twenty-two billion, one hundred thirty million, one hundred", and thus it is an aban number.