111013001134000 has 320 divisors, whose sum is σ = 322752397024512. Its totient is φ = 36129659904000.

The previous prime is 111013001133919. The next prime is 111013001134001. The reversal of 111013001134000 is 431100310111.

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 (111013001134001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18624454 + ... + 23851546.

Almost surely, 2^{111013001134000} is an apocalyptic number.

111013001134000 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 111013001134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161376198512256).

111013001134000 is an abundant number, since it is smaller than the sum of its proper divisors (211739395890512).

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

111013001134000 is a wasteful number, since it uses less digits than its factorization.

111013001134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5227201 (or 5227185 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 111013001134000 its reverse (431100310111), we get a palindrome (111444101444111).

The spelling of 111013001134000 in words is "one hundred eleven trillion, thirteen billion, one million, one hundred thirty-four thousand".