111531004131105 has 96 divisors (see below), whose sum is σ = 210079497831840. Its totient is φ = 54410969825280.

The previous prime is 111531004131049. The next prime is 111531004131119. The reversal of 111531004131105 is 501131400135111.

It is a happy number.

111531004131105 is a `hidden beast` number, since 1 + 1 + 1 + 531 + 0 + 0 + 4 + 13 + 110 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 70288907287104 + 41242096844001 = 8383848^2 + 6422001^2 .

It is not a de Polignac number, because 111531004131105 - 2¹⁰ = 111531004130081 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44379645 + ... + 46825365.

It is an arithmetic number, because the mean of its divisors is an integer number (2188328102415).

Almost surely, 2^{111531004131105} is an apocalyptic number.

111531004131105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

111531004131105 is a deficient number, since it is larger than the sum of its proper divisors (98548493700735).

111531004131105 is a wasteful number, since it uses less digits than its factorization.

111531004131105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446451 (or 2446448 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 111531004131105 its reverse (501131400135111), we get a palindrome (612662404266216).

The spelling of 111531004131105 in words is "one hundred eleven trillion, five hundred thirty-one billion, four million, one hundred thirty-one thousand, one hundred five".