1110131101105 has 16 divisors (see below), whose sum is σ = 1436259447504. Its totient is φ = 818858557440.

The previous prime is 1110131101031. The next prime is 1110131101117. The reversal of 1110131101105 is 5011011310111.

It can be written as a sum of positive squares in 8 ways, for example, as 16933296384 + 1093197804721 = 130128^2 + 1045561^2 .

It is not a de Polignac number, because 1110131101105 - 2²¹ = 1110129003953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9635664 + ... + 9750193.

It is an arithmetic number, because the mean of its divisors is an integer number (89766215469).

Almost surely, 2^{1110131101105} is an apocalyptic number.

It is an amenable number.

1110131101105 is a deficient number, since it is larger than the sum of its proper divisors (326128346399).

1110131101105 is a wasteful number, since it uses less digits than its factorization.

1110131101105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19386756.

The product of its (nonzero) digits is 15, while the sum is 16.

Adding to 1110131101105 its reverse (5011011310111), we get a palindrome (6121142411216).

The spelling of 1110131101105 in words is "one trillion, one hundred ten billion, one hundred thirty-one million, one hundred one thousand, one hundred five".