1131311313 has 32 divisors (see below), whose sum is σ = 1832947200. Its totient is φ = 683931600.

The previous prime is 1131311287. The next prime is 1131311333. The reversal of 1131311313 is 3131131311.

1131311313 is a `hidden beast` number, since 11 + 31 + 311 + 313 = 666.

It is not a de Polignac number, because 1131311313 - 2⁶ = 1131311249 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1131311333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119898 + ... + 128988.

It is an arithmetic number, because the mean of its divisors is an integer number (57279600).

Almost surely, 2^1131311313 is an apocalyptic number.

It is an amenable number.

1131311313 is a deficient number, since it is larger than the sum of its proper divisors (701635887).

1131311313 is a wasteful number, since it uses less digits than its factorization.

1131311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9530 (or 9524 counting only the distinct ones).

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

The square root of 1131311313 is about 33634.9715772141. The cubic root of 1131311313 is about 1041.9831836126.

Adding to 1131311313 its reverse (3131131311), we get a palindrome (4262442624).

It can be divided in two parts, 11 and 31311313, that multiplied together give a palindrome (344424443).

The spelling of 1131311313 in words is "one billion, one hundred thirty-one million, three hundred eleven thousand, three hundred thirteen".