11331313121133 has 12 divisors (see below), whose sum is σ = 16390801014588. Its totient is φ = 7543432411200.

The previous prime is 11331313121111. The next prime is 11331313121137. The reversal of 11331313121133 is 33112131313311.

11331313121133 is a `hidden beast` number, since 1 + 1 + 3 + 313 + 1 + 312 + 1 + 1 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6378721025769 + 4952592095364 = 2525613^2 + 2225442^2 .

It is not a de Polignac number, because 11331313121133 - 2¹⁰ = 11331313120109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11331313121097 and 11331313121106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331313121137) 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, 898021360 + ... + 898033977.

It is an arithmetic number, because the mean of its divisors is an integer number (1365900084549).

Almost surely, 2^{11331313121133} is an apocalyptic number.

It is an amenable number.

11331313121133 is a deficient number, since it is larger than the sum of its proper divisors (5059487893455).

11331313121133 is a wasteful number, since it uses less digits than its factorization.

11331313121133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796056044 (or 1796056041 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

Adding to 11331313121133 its reverse (33112131313311), we get a palindrome (44443444434444).

The spelling of 11331313121133 in words is "eleven trillion, three hundred thirty-one billion, three hundred thirteen million, one hundred twenty-one thousand, one hundred thirty-three".