13111331011100 has 216 divisors, whose sum is σ = 33343293392640. Its totient is φ = 4461930816000.

The previous prime is 13111331011039. The next prime is 13111331011139. The reversal of 13111331011100 is 111013311131.

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 71 ways as a sum of consecutive naturals, for example, 431434706 + ... + 431465094.

It is an arithmetic number, because the mean of its divisors is an integer number (154367099040).

Almost surely, 2^{13111331011100} is an apocalyptic number.

13111331011100 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 13111331011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16671646696320).

13111331011100 is an abundant number, since it is smaller than the sum of its proper divisors (20231962381540).

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

13111331011100 is a wasteful number, since it uses less digits than its factorization.

13111331011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31069 (or 31055 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 13111331011100 its reverse (111013311131), we get a palindrome (13222344322231).

The spelling of 13111331011100 in words is "thirteen trillion, one hundred eleven billion, three hundred thirty-one million, eleven thousand, one hundred".