331003131441104 has 40 divisors (see below), whose sum is σ = 702458471153160. Its totient is φ = 150394931929088.

The previous prime is 331003131441041. The next prime is 331003131441127. The reversal of 331003131441104 is 401144131300133.

It can be written as a sum of positive squares in 4 ways, for example, as 47030079191104 + 283973052250000 = 6857848^2 + 16851500^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20981427929 + ... + 20981443704.

It is an arithmetic number, because the mean of its divisors is an integer number (17561461778829).

Almost surely, 2^{331003131441104} is an apocalyptic number.

331003131441104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

331003131441104 is an abundant number, since it is smaller than the sum of its proper divisors (371455339712056).

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

331003131441104 is a wasteful number, since it uses less digits than its factorization.

331003131441104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41962871687 (or 41962871681 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 331003131441104 its reverse (401144131300133), we get a palindrome (732147262741237).

The spelling of 331003131441104 in words is "three hundred thirty-one trillion, three billion, one hundred thirty-one million, four hundred forty-one thousand, one hundred four".