111001201221311 has 8 divisors (see below), whose sum is σ = 117531514109664. Its totient is φ = 104470980606720.

The previous prime is 111001201221307. The next prime is 111001201221349. The reversal of 111001201221311 is 113122102100111.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 111001201221311 - 2² = 111001201221307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111001201221311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001201211311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20584115 + ... + 25410788.

It is an arithmetic number, because the mean of its divisors is an integer number (14691439263708).

Almost surely, 2^{111001201221311} is an apocalyptic number.

111001201221311 is a deficient number, since it is larger than the sum of its proper divisors (6530312888353).

111001201221311 is a wasteful number, since it uses less digits than its factorization.

111001201221311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46136881.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 111001201221311 its reverse (113122102100111), we get a palindrome (224123303321422).

The spelling of 111001201221311 in words is "one hundred eleven trillion, one billion, two hundred one million, two hundred twenty-one thousand, three hundred eleven".