13111209043328 has 256 divisors, whose sum is σ = 30598646158080. Its totient is φ = 5529796608000.

The previous prime is 13111209043297. The next prime is 13111209043357. The reversal of 13111209043328 is 82334090211131.

It is a junction number, because it is equal to n+sod(n) for n = 13111209043291 and 13111209043300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975457088 + ... + 975470528.

It is an arithmetic number, because the mean of its divisors is an integer number (119525961555).

Almost surely, 2^{13111209043328} 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 13111209043328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15299323079040).

13111209043328 is an abundant number, since it is smaller than the sum of its proper divisors (17487437114752).

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

13111209043328 is a wasteful number, since it uses less digits than its factorization.

13111209043328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14057 (or 14045 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

Adding to 13111209043328 its reverse (82334090211131), we get a palindrome (95445299254459).

The spelling of 13111209043328 in words is "thirteen trillion, one hundred eleven billion, two hundred nine million, forty-three thousand, three hundred twenty-eight".