1101310131011 has 6 divisors (see below), whose sum is σ = 1169903841900. Its totient is φ = 1036527181856.

The previous prime is 1101310131001. The next prime is 1101310131017.

1101310131011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1101310131011 - 2²⁶ = 1101243022147 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1101310131017) 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 5 ways as a sum of consecutive naturals, for example, 1905380561 + ... + 1905381138.

It is an arithmetic number, because the mean of its divisors is an integer number (194983973650).

Almost surely, 2^{1101310131011} is an apocalyptic number.

1101310131011 is a deficient number, since it is larger than the sum of its proper divisors (68593710889).

1101310131011 is an equidigital number, since it uses as much as digits as its factorization.

1101310131011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810761733 (or 3810761716 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 14.

It can be divided in two parts, 1101310 and 131011, that added together give a palindrome (1232321).

The spelling of 1101310131011 in words is "one trillion, one hundred one billion, three hundred ten million, one hundred thirty-one thousand, eleven".