1311122133 has 20 divisors (see below), whose sum is σ = 1959907180. Its totient is φ = 873493632.

The previous prime is 1311122117. The next prime is 1311122143. The reversal of 1311122133 is 3312211131.

It can be written as a sum of positive squares in 2 ways, for example, as 378613764 + 932508369 = 19458^2 + 30537^2 .

It is not a de Polignac number, because 1311122133 - 2⁴ = 1311122117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311122143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139383 + ... + 148491.

It is an arithmetic number, because the mean of its divisors is an integer number (97995359).

Almost surely, 2^1311122133 is an apocalyptic number.

It is an amenable number.

1311122133 is a deficient number, since it is larger than the sum of its proper divisors (648785047).

1311122133 is an equidigital number, since it uses as much as digits as its factorization.

1311122133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10898 (or 10889 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1311122133 is about 36209.4205007481. The cubic root of 1311122133 is about 1094.4965146371.

Adding to 1311122133 its reverse (3312211131), we get a palindrome (4623333264).

The spelling of 1311122133 in words is "one billion, three hundred eleven million, one hundred twenty-two thousand, one hundred thirty-three".