1131314041 has 48 divisors (see below), whose sum is σ = 1439867520. Its totient is φ = 874621440.

The previous prime is 1131314033. The next prime is 1131314081. The reversal of 1131314041 is 1404131311.

It is not a de Polignac number, because 1131314041 - 2³ = 1131314033 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131314021) 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 47 ways as a sum of consecutive naturals, for example, 2765845 + ... + 2766253.

It is an arithmetic number, because the mean of its divisors is an integer number (29997240).

Almost surely, 2^1131314041 is an apocalyptic number.

1131314041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1131314041 is a deficient number, since it is larger than the sum of its proper divisors (308553479).

1131314041 is a wasteful number, since it uses less digits than its factorization.

1131314041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1131314041 is about 33635.0121302193. The cubic root of 1131314041 is about 1041.9840211445.

Adding to 1131314041 its reverse (1404131311), we get a palindrome (2535445352).

The spelling of 1131314041 in words is "one billion, one hundred thirty-one million, three hundred fourteen thousand, forty-one".