1311311133 has 32 divisors (see below), whose sum is σ = 2243963520. Its totient is φ = 747982080.

The previous prime is 1311311081. The next prime is 1311311143. The reversal of 1311311133 is 3311131131.

It is not a de Polignac number, because 1311311133 - 2⁹ = 1311310621 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311311143) 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 31 ways as a sum of consecutive naturals, for example, 124810 + ... + 134907.

It is an arithmetic number, because the mean of its divisors is an integer number (70123860).

Almost surely, 2^1311311133 is an apocalyptic number.

It is an amenable number.

1311311133 is a deficient number, since it is larger than the sum of its proper divisors (932652387).

1311311133 is a wasteful number, since it uses less digits than its factorization.

1311311133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259754 (or 259748 counting only the distinct ones).

The product of its digits is 81, while the sum is 18.

The square root of 1311311133 is about 36212.0302247747. The cubic root of 1311311133 is about 1094.5491031533.

Adding to 1311311133 its reverse (3311131131), we get a palindrome (4622442264).

The spelling of 1311311133 in words is "one billion, three hundred eleven million, three hundred eleven thousand, one hundred thirty-three".