11133101331 has 48 divisors (see below), whose sum is σ = 18143244288. Its totient is φ = 6517324800.

The previous prime is 11133101323. The next prime is 11133101381. The reversal of 11133101331 is 13310133111.

11133101331 is a `hidden beast` number, since 1 + 1 + 1 + 331 + 0 + 1 + 331 = 666.

11133101331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11133101331 - 2³ = 11133101323 is a prime.

It is a super-2 number, since 2×11133101331² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11133101311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1767670 + ... + 1773956.

It is an arithmetic number, because the mean of its divisors is an integer number (377984256).

Almost surely, 2^11133101331 is an apocalyptic number.

11133101331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11133101331 is a deficient number, since it is larger than the sum of its proper divisors (7010142957).

11133101331 is a wasteful number, since it uses less digits than its factorization.

11133101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6912 (or 6909 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 11133101331 its reverse (13310133111), we get a palindrome (24443234442).

It can be divided in two parts, 11 and 133101331, that multiplied together give a palindrome (1464114641).

The spelling of 11133101331 in words is "eleven billion, one hundred thirty-three million, one hundred one thousand, three hundred thirty-one".