11101020313110 has 256 divisors, whose sum is σ = 33919264512000. Its totient is φ = 2262493016064.

The previous prime is 11101020313069. The next prime is 11101020313121. The reversal of 11101020313110 is 1131302010111.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11101020313110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13645066 + ... + 14435714.

It is an arithmetic number, because the mean of its divisors is an integer number (132497127000).

Almost surely, 2^{11101020313110} is an apocalyptic number.

11101020313110 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 11101020313110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16959632256000).

11101020313110 is an abundant number, since it is smaller than the sum of its proper divisors (22818244198890).

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

11101020313110 is a wasteful number, since it uses less digits than its factorization.

11101020313110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790855.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 11101020313110 its reverse (1131302010111), we get a palindrome (12232322323221).

The spelling of 11101020313110 in words is "eleven trillion, one hundred one billion, twenty million, three hundred thirteen thousand, one hundred ten".