11121113133131 has 12 divisors (see below), whose sum is σ = 11878653862152. Its totient is φ = 10408854115584.

The previous prime is 11121113133071. The next prime is 11121113133161. The reversal of 11121113133131 is 13133131112111.

It is a happy number.

It is not a de Polignac number, because 11121113133131 - 2²² = 11121108938827 is a prime.

It is a super-2 number, since 2×11121113133131² (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 = 11121113133097 and 11121113133106.

It is not an unprimeable number, because it can be changed into a prime (11121113133161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185550806 + ... + 185610731.

It is an arithmetic number, because the mean of its divisors is an integer number (989887821846).

Almost surely, 2^{11121113133131} is an apocalyptic number.

11121113133131 is a deficient number, since it is larger than the sum of its proper divisors (757540729021).

11121113133131 is an equidigital number, since it uses as much as digits as its factorization.

11121113133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371161658 (or 371161639 counting only the distinct ones).

The product of its digits is 162, while the sum is 23.

Adding to 11121113133131 its reverse (13133131112111), we get a palindrome (24254244245242).

The spelling of 11121113133131 in words is "eleven trillion, one hundred twenty-one billion, one hundred thirteen million, one hundred thirty-three thousand, one hundred thirty-one".