1133113311 has 24 divisors (see below), whose sum is σ = 1786708560. Its totient is φ = 686275200.

The previous prime is 1133113309. The next prime is 1133113337.

1133113311 is a `hidden beast` number, since 1 + 1 + 331 + 1 + 331 + 1 = 666.

1133113311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1133113311 - 2¹ = 1133113309 is a prime.

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133113391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198051 + ... + 203691.

It is an arithmetic number, because the mean of its divisors is an integer number (74446190).

Almost surely, 2^1133113311 is an apocalyptic number.

1133113311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1133113311 is a deficient number, since it is larger than the sum of its proper divisors (653595249).

1133113311 is a wasteful number, since it uses less digits than its factorization.

1133113311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7687 (or 7684 counting only the distinct ones).

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

The square root of 1133113311 is about 33661.7484839989. The cubic root of 1133113311 is about 1042.5361276578.

It can be divided in two parts, 11331 and 13311, that added together give a palindrome (24642).

The spelling of 1133113311 in words is "one billion, one hundred thirty-three million, one hundred thirteen thousand, three hundred eleven".