110013311320000 has 840 divisors, whose sum is σ = 316620734245200. Its totient is φ = 37780807680000.

The previous prime is 110013311319953. The next prime is 110013311320009. The reversal of 110013311320000 is 23113310011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110013311320009) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32461878306 + ... + 32461881694.

It is an arithmetic number, because the mean of its divisors is an integer number (376929445530).

Almost surely, 2^{110013311320000} is an apocalyptic number.

110013311320000 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 110013311320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158310367122600).

110013311320000 is an abundant number, since it is smaller than the sum of its proper divisors (206607422925200).

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

110013311320000 is a wasteful number, since it uses less digits than its factorization.

110013311320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3815 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 110013311320000 its reverse (23113310011), we get a palindrome (110036424630011).

The spelling of 110013311320000 in words is "one hundred ten trillion, thirteen billion, three hundred eleven million, three hundred twenty thousand".