111131022113011 has 16 divisors (see below), whose sum is σ = 112082545788928. Its totient is φ = 110182402656000.

The previous prime is 111131022112951. The next prime is 111131022113057. The reversal of 111131022113011 is 110311220131111.

It is a cyclic number.

It is not a de Polignac number, because 111131022113011 - 2¹¹ = 111131022110963 is a prime.

It is a super-2 number, since 2×111131022113011² (a number of 29 digits) contains 22 as substring.

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 111131022113011.

It is not an unprimeable number, because it can be changed into a prime (111131022113081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504886366 + ... + 505106428.

It is an arithmetic number, because the mean of its divisors is an integer number (7005159111808).

Almost surely, 2^{111131022113011} is an apocalyptic number.

111131022113011 is a deficient number, since it is larger than the sum of its proper divisors (951523675917).

111131022113011 is a wasteful number, since it uses less digits than its factorization.

111131022113011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226642.

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 111131022113011 its reverse (110311220131111), we get a palindrome (221442242244122).

The spelling of 111131022113011 in words is "one hundred eleven trillion, one hundred thirty-one billion, twenty-two million, one hundred thirteen thousand, eleven".