105505113133 has 16 divisors (see below), whose sum is σ = 121568870016. Its totient is φ = 89690065920.

The previous prime is 105505113089. The next prime is 105505113143. The reversal of 105505113133 is 331311505501.

It is not a de Polignac number, because 105505113133 - 2⁹ = 105505112621 is a prime.

It is a super-2 number, since 2×105505113133² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505113143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1574685 + ... + 1640317.

It is an arithmetic number, because the mean of its divisors is an integer number (7598054376).

Almost surely, 2^105505113133 is an apocalyptic number.

It is an amenable number.

105505113133 is a deficient number, since it is larger than the sum of its proper divisors (16063756883).

105505113133 is a wasteful number, since it uses less digits than its factorization.

105505113133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67524.

The product of its (nonzero) digits is 3375, while the sum is 28.

Adding to 105505113133 its reverse (331311505501), we get a palindrome (436816618634).

The spelling of 105505113133 in words is "one hundred five billion, five hundred five million, one hundred thirteen thousand, one hundred thirty-three".