1131011314041 has 32 divisors (see below), whose sum is σ = 1725773977600. Its totient is φ = 645419508480.

The previous prime is 1131011313931. The next prime is 1131011314091. The reversal of 1131011314041 is 1404131101311.

It is not a de Polignac number, because 1131011314041 - 2¹⁰ = 1131011313017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1131011313999 and 1131011314017.

It is not an unprimeable number, because it can be changed into a prime (1131011314091) 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 31 ways as a sum of consecutive naturals, for example, 134336130 + ... + 134344548.

It is an arithmetic number, because the mean of its divisors is an integer number (53930436800).

Almost surely, 2^{1131011314041} is an apocalyptic number.

It is an amenable number.

1131011314041 is a deficient number, since it is larger than the sum of its proper divisors (594762663559).

1131011314041 is an equidigital number, since it uses as much as digits as its factorization.

1131011314041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16309.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 1131011314041 its reverse (1404131101311), we get a palindrome (2535142415352).

The spelling of 1131011314041 in words is "one trillion, one hundred thirty-one billion, eleven million, three hundred fourteen thousand, forty-one".