13111122001110 has 288 divisors, whose sum is σ = 38891550664800. Its totient is φ = 2820028732416.

The previous prime is 13111122001073. The next prime is 13111122001231. The reversal of 13111122001110 is 1110022111131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13111122001110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78986922 + ... + 79152738.

It is an arithmetic number, because the mean of its divisors is an integer number (135040106475).

Almost surely, 2^{13111122001110} is an apocalyptic number.

13111122001110 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 13111122001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19445775332400).

13111122001110 is an abundant number, since it is smaller than the sum of its proper divisors (25780428663690).

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

13111122001110 is a wasteful number, since it uses less digits than its factorization.

13111122001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166028 (or 166002 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 13111122001110 its reverse (1110022111131), we get a palindrome (14221144112241).

The spelling of 13111122001110 in words is "thirteen trillion, one hundred eleven billion, one hundred twenty-two million, one thousand, one hundred ten".