1311131331 has 12 divisors (see below), whose sum is σ = 1929590208. Its totient is φ = 857595024.

The previous prime is 1311131303. The next prime is 1311131387. The reversal of 1311131331 is 1331311131.

It is not a de Polignac number, because 1311131331 - 2¹⁴ = 1311114947 is a prime.

It is a super-2 number, since 2×1311131331² = 3438130734259663122, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1311131531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1373875 + ... + 1374828.

It is an arithmetic number, because the mean of its divisors is an integer number (160799184).

Almost surely, 2^1311131331 is an apocalyptic number.

1311131331 is a deficient number, since it is larger than the sum of its proper divisors (618458877).

1311131331 is a wasteful number, since it uses less digits than its factorization.

1311131331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748762 (or 2748759 counting only the distinct ones).

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

The square root of 1311131331 is about 36209.5475116716. The cubic root of 1311131331 is about 1094.4990740619.

Adding to 1311131331 its reverse (1331311131), we get a palindrome (2642442462).

The spelling of 1311131331 in words is "one billion, three hundred eleven million, one hundred thirty-one thousand, three hundred thirty-one".