11121111113331 has 32 divisors (see below), whose sum is σ = 14996455936000. Its totient is φ = 7330534849440.

The previous prime is 11121111113309. The next prime is 11121111113353. The reversal of 11121111113331 is 13331111112111.

It is an interprime number because it is at equal distance from previous prime (11121111113309) and next prime (11121111113353).

It is not a de Polignac number, because 11121111113331 - 2²¹ = 11121109016179 is a prime.

It is a super-2 number, since 2×11121111113331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11121111113298 and 11121111113307.

It is not an unprimeable number, because it can be changed into a prime (11121111113131) 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 31 ways as a sum of consecutive naturals, for example, 60573690 + ... + 60757008.

It is an arithmetic number, because the mean of its divisors is an integer number (468639248000).

Almost surely, 2^{11121111113331} is an apocalyptic number.

11121111113331 is a deficient number, since it is larger than the sum of its proper divisors (3875344822669).

11121111113331 is a wasteful number, since it uses less digits than its factorization.

11121111113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184159.

The product of its digits is 54, while the sum is 21.

Adding to 11121111113331 its reverse (13331111112111), we get a palindrome (24452222225442).

The spelling of 11121111113331 in words is "eleven trillion, one hundred twenty-one billion, one hundred eleven million, one hundred thirteen thousand, three hundred thirty-one".