1131441412311 has 32 divisors (see below), whose sum is σ = 1917771110400. Its totient is φ = 645828150240.

The previous prime is 1131441412303. The next prime is 1131441412319. The reversal of 1131441412311 is 1132141441311.

1131441412311 is a `hidden beast` number, since 1 + 1 + 3 + 14 + 414 + 1 + 231 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1131441412303) and next prime (1131441412319).

It is not a de Polignac number, because 1131441412311 - 2³ = 1131441412303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131441412319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3113476 + ... + 3457833.

It is an arithmetic number, because the mean of its divisors is an integer number (59930347200).

Almost surely, 2^{1131441412311} is an apocalyptic number.

1131441412311 is a deficient number, since it is larger than the sum of its proper divisors (786329698089).

1131441412311 is an equidigital number, since it uses as much as digits as its factorization.

1131441412311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6572236 (or 6572230 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

Adding to 1131441412311 its reverse (1132141441311), we get a palindrome (2263582853622).

The spelling of 1131441412311 in words is "one trillion, one hundred thirty-one billion, four hundred forty-one million, four hundred twelve thousand, three hundred eleven".