13111011240100 has 216 divisors, whose sum is σ = 30665207488608. Its totient is φ = 4863803904000.

The previous prime is 13111011240037. The next prime is 13111011240101. The reversal of 13111011240100 is 104211011131.

13111011240100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13111011240101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3061172559 + ... + 3061176841.

It is an arithmetic number, because the mean of its divisors is an integer number (141968553188).

Almost surely, 2^{13111011240100} is an apocalyptic number.

13111011240100 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 13111011240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15332603744304).

13111011240100 is an abundant number, since it is smaller than the sum of its proper divisors (17554196248508).

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

13111011240100 is a wasteful number, since it uses less digits than its factorization.

13111011240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5855 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 13111011240100 its reverse (104211011131), we get a palindrome (13215222251231).

The spelling of 13111011240100 in words is "thirteen trillion, one hundred eleven billion, eleven million, two hundred forty thousand, one hundred".