13122141044100 has 288 divisors, whose sum is σ = 42360180774912. Its totient is φ = 3108974400000.

The previous prime is 13122141044071. The next prime is 13122141044107. The reversal of 13122141044100 is 144014122131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13122141044107) 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, 108664755 + ... + 108785445.

It is an arithmetic number, because the mean of its divisors is an integer number (147083961024).

Almost surely, 2^{13122141044100} is an apocalyptic number.

13122141044100 is a gapful number since it is divisible by the number (10) 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 13122141044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21180090387456).

13122141044100 is an abundant number, since it is smaller than the sum of its proper divisors (29238039730812).

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

13122141044100 is a wasteful number, since it uses less digits than its factorization.

13122141044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121467 (or 121460 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 13122141044100 its reverse (144014122131), we get a palindrome (13266155166231).

The spelling of 13122141044100 in words is "thirteen trillion, one hundred twenty-two billion, one hundred forty-one million, forty-four thousand, one hundred".