105233341311 has 12 divisors (see below), whose sum is σ = 173718531792. Its totient is φ = 60133337856.

The previous prime is 105233341259. The next prime is 105233341403. The reversal of 105233341311 is 113143332501.

105233341311 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 3 + 3 + 341 + 311 = 666.

It is not a de Polignac number, because 105233341311 - 2¹⁰ = 105233340287 is a prime.

It is a super-2 number, since 2×105233341311² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105233343311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 835185186 + ... + 835185311.

It is an arithmetic number, because the mean of its divisors is an integer number (14476544316).

Almost surely, 2^105233341311 is an apocalyptic number.

105233341311 is a deficient number, since it is larger than the sum of its proper divisors (68485190481).

105233341311 is a wasteful number, since it uses less digits than its factorization.

105233341311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670370510 (or 1670370507 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 105233341311 its reverse (113143332501), we get a palindrome (218376673812).

The spelling of 105233341311 in words is "one hundred five billion, two hundred thirty-three million, three hundred forty-one thousand, three hundred eleven".