13331034004122 has 192 divisors, whose sum is σ = 31508725248000. Its totient is φ = 4060176067584.

The previous prime is 13331034004091. The next prime is 13331034004129. The reversal of 13331034004122 is 22140043013331.

It is a happy number.

13331034004122 is a `hidden beast` number, since 1 + 3 + 3 + 310 + 340 + 0 + 4 + 1 + 2 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (13331034004129) 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, 250891654 + ... + 250944782.

It is an arithmetic number, because the mean of its divisors is an integer number (164107944000).

Almost surely, 2^{13331034004122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331034004122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15754362624000).

13331034004122 is an abundant number, since it is smaller than the sum of its proper divisors (18177691243878).

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

13331034004122 is a wasteful number, since it uses less digits than its factorization.

13331034004122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53445 (or 53442 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13331034004122 its reverse (22140043013331), we get a palindrome (35471077017453).

The spelling of 13331034004122 in words is "thirteen trillion, three hundred thirty-one billion, thirty-four million, four thousand, one hundred twenty-two".