13111221300100 has 432 divisors, whose sum is σ = 36747051413184. Its totient is φ = 4014154368000.

The previous prime is 13111221300091. The next prime is 13111221300109. The reversal of 13111221300100 is 100312211131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13111221300091) and next prime (13111221300109).

It is not an unprimeable number, because it can be changed into a prime (13111221300109) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2883486027 + ... + 2883490573.

It is an arithmetic number, because the mean of its divisors is an integer number (85062619012).

Almost surely, 2^{13111221300100} is an apocalyptic number.

13111221300100 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 13111221300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18373525706592).

13111221300100 is an abundant number, since it is smaller than the sum of its proper divisors (23635830113084).

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

13111221300100 is a wasteful number, since it uses less digits than its factorization.

13111221300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13111221300100 its reverse (100312211131), we get a palindrome (13211533511231).

The spelling of 13111221300100 in words is "thirteen trillion, one hundred eleven billion, two hundred twenty-one million, three hundred thousand, one hundred".