1114131251441 has 16 divisors (see below), whose sum is σ = 1201008622800. Its totient is φ = 1027422240768.

The previous prime is 1114131251417. The next prime is 1114131251473. The reversal of 1114131251441 is 1441521314111.

It can be written as a sum of positive squares in 8 ways, for example, as 11295225841 + 1102836025600 = 106279^2 + 1050160^2 .

It is a cyclic number.

It is not a de Polignac number, because 1114131251441 - 2¹⁸ = 1114130989297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1114131251411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68055305 + ... + 68071673.

It is an arithmetic number, because the mean of its divisors is an integer number (75063038925).

Almost surely, 2^{1114131251441} is an apocalyptic number.

It is an amenable number.

1114131251441 is a deficient number, since it is larger than the sum of its proper divisors (86877371359).

1114131251441 is a wasteful number, since it uses less digits than its factorization.

1114131251441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21188.

The product of its digits is 1920, while the sum is 29.

Adding to 1114131251441 its reverse (1441521314111), we get a palindrome (2555652565552).

The spelling of 1114131251441 in words is "one trillion, one hundred fourteen billion, one hundred thirty-one million, two hundred fifty-one thousand, four hundred forty-one".