13310211112110 has 256 divisors, whose sum is σ = 41559929349120. Its totient is φ = 2995308564480.

The previous prime is 13310211112091. The next prime is 13310211112151. The reversal of 13310211112110 is 1121111201331.

13310211112110 is a `hidden beast` number, since 1 + 331 + 0 + 211 + 1 + 12 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 127 ways as a sum of consecutive naturals, for example, 1880149 + ... + 5491391.

It is an arithmetic number, because the mean of its divisors is an integer number (162343474020).

Almost surely, 2^{13310211112110} is an apocalyptic number.

13310211112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13310211112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779964674560).

13310211112110 is an abundant number, since it is smaller than the sum of its proper divisors (28249718237010).

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

13310211112110 is a wasteful number, since it uses less digits than its factorization.

13310211112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611360 (or 3611354 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 13310211112110 its reverse (1121111201331), we get a palindrome (14431322313441).

The spelling of 13310211112110 in words is "thirteen trillion, three hundred ten billion, two hundred eleven million, one hundred twelve thousand, one hundred ten".