13311114041100 has 144 divisors (see below), whose sum is σ = 40810305973248. Its totient is φ = 3338263004160.

The previous prime is 13311114041081. The next prime is 13311114041101. The reversal of 13311114041100 is 114041111331.

It is not an unprimeable number, because it can be changed into a prime (13311114041101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5643757 + ... + 7646843.

It is an arithmetic number, because the mean of its divisors is an integer number (283404902592).

Almost surely, 2^{13311114041100} is an apocalyptic number.

13311114041100 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 13311114041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20405152986624).

13311114041100 is an abundant number, since it is smaller than the sum of its proper divisors (27499191932148).

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

13311114041100 is a wasteful number, since it uses less digits than its factorization.

13311114041100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004424 (or 2004417 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 13311114041100 its reverse (114041111331), we get a palindrome (13425155152431).

The spelling of 13311114041100 in words is "thirteen trillion, three hundred eleven billion, one hundred fourteen million, forty-one thousand, one hundred".