1314131114141 has 2 divisors, whose sum is σ = 1314131114142. Its totient is φ = 1314131114140.

The previous prime is 1314131114123. The next prime is 1314131114161. The reversal of 1314131114141 is 1414111314131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1051342622500 + 262788491641 = 1025350^2 + 512629^2 .

It is a cyclic number.

It is not a de Polignac number, because 1314131114141 - 2¹⁴ = 1314131097757 is a prime.

It is a super-3 number, since 3×1314131114141³ (a number of 37 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1314131114141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1314131114161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 657065557070 + 657065557071.

It is an arithmetic number, because the mean of its divisors is an integer number (657065557071).

Almost surely, 2^{1314131114141} is an apocalyptic number.

It is an amenable number.

1314131114141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1314131114141 is an equidigital number, since it uses as much as digits as its factorization.

1314131114141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 26.

Adding to 1314131114141 its reverse (1414111314131), we get a palindrome (2728242428272).

The spelling of 1314131114141 in words is "one trillion, three hundred fourteen billion, one hundred thirty-one million, one hundred fourteen thousand, one hundred forty-one".