1133111331 has 24 divisors (see below), whose sum is σ = 1787123520. Its totient is φ = 686113200.

The previous prime is 1133111323. The next prime is 1133111333. The reversal of 1133111331 is 1331113311.

1133111331 is a `hidden beast` number, since 1 + 1 + 331 + 1 + 1 + 331 = 666.

It is not a de Polignac number, because 1133111331 - 2³ = 1133111323 is a prime.

It is a super-2 number, since 2×1133111331² = 2567882576881183122, 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 (1133111333) 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 23 ways as a sum of consecutive naturals, for example, 120096 + ... + 129186.

It is an arithmetic number, because the mean of its divisors is an integer number (74463480).

Almost surely, 2^1133111331 is an apocalyptic number.

1133111331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1133111331 is a deficient number, since it is larger than the sum of its proper divisors (654012189).

1133111331 is a wasteful number, since it uses less digits than its factorization.

1133111331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10367 (or 10364 counting only the distinct ones).

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

The square root of 1133111331 is about 33661.7190737490. The cubic root of 1133111331 is about 1042.5355204156.

Adding to 1133111331 its reverse (1331113311), we get a palindrome (2464224642).

The spelling of 1133111331 in words is "one billion, one hundred thirty-three million, one hundred eleven thousand, three hundred thirty-one".