1131441311 has 36 divisors (see below), whose sum is σ = 1554886584. Its totient is φ = 813758400.

The previous prime is 1131441287. The next prime is 1131441331.

1131441311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1131441311 - 2²² = 1127247007 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 (1131441331) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84881 + ... + 97301.

It is an arithmetic number, because the mean of its divisors is an integer number (43191294).

Almost surely, 2^1131441311 is an apocalyptic number.

1131441311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1131441311 is a deficient number, since it is larger than the sum of its proper divisors (423445273).

1131441311 is a wasteful number, since it uses less digits than its factorization.

1131441311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12472 (or 12452 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

The square root of 1131441311 is about 33636.9040043819. The cubic root of 1131441311 is about 1042.0230932114.

It can be divided in two parts, 11314 and 41311, that added together give a palindrome (52625).

The spelling of 1131441311 in words is "one billion, one hundred thirty-one million, four hundred forty-one thousand, three hundred eleven".