1311114041 has 16 divisors (see below), whose sum is σ = 1369026960. Its totient is φ = 1254113280.

The previous prime is 1311114037. The next prime is 1311114059. The reversal of 1311114041 is 1404111131.

It can be written as a sum of positive squares in 8 ways, for example, as 195888016 + 1115226025 = 13996^2 + 33395^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311114041 - 2² = 1311114037 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1311114641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2423231 + ... + 2423771.

It is an arithmetic number, because the mean of its divisors is an integer number (85564185).

Almost surely, 2^1311114041 is an apocalyptic number.

It is an amenable number.

1311114041 is a deficient number, since it is larger than the sum of its proper divisors (57912919).

1311114041 is a wasteful number, since it uses less digits than its factorization.

1311114041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196.

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 1311114041 is about 36209.3087616983. The cubic root of 1311114041 is about 1094.4942629567.

Adding to 1311114041 its reverse (1404111131), we get a palindrome (2715225172).

The spelling of 1311114041 in words is "one billion, three hundred eleven million, one hundred fourteen thousand, forty-one".