13110211114000 has 1280 divisors, whose sum is σ = 43712146243584. Its totient is φ = 3671073792000.

The previous prime is 13110211113919. The next prime is 13110211114001. The reversal of 13110211114000 is 41111201131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13110211114001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26064037749 + ... + 26064038251.

Almost surely, 2^{13110211114000} is an apocalyptic number.

13110211114000 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 13110211114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21856073121792).

13110211114000 is an abundant number, since it is smaller than the sum of its proper divisors (30601935129584).

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

13110211114000 is a wasteful number, since it uses less digits than its factorization.

13110211114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 865 counting only the distinct ones).

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

Adding to 13110211114000 its reverse (41111201131), we get a palindrome (13151322315131).

The spelling of 13110211114000 in words is "thirteen trillion, one hundred ten billion, two hundred eleven million, one hundred fourteen thousand".