1005140531141 has 2 divisors, whose sum is σ = 1005140531142. Its totient is φ = 1005140531140.

The previous prime is 1005140531111. The next prime is 1005140531189. The reversal of 1005140531141 is 1411350415001.

1005140531141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 763956410116 + 241184121025 = 874046^2 + 491105^2 .

It is an emirp because it is prime and its reverse (1411350415001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005140531141 - 2²⁶ = 1005073422277 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005140531141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005140531111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502570265570 + 502570265571.

It is an arithmetic number, because the mean of its divisors is an integer number (502570265571).

Almost surely, 2^{1005140531141} is an apocalyptic number.

It is an amenable number.

1005140531141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005140531141 is an equidigital number, since it uses as much as digits as its factorization.

1005140531141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 1005140531141 its reverse (1411350415001), we get a palindrome (2416490946142).

The spelling of 1005140531141 in words is "one trillion, five billion, one hundred forty million, five hundred thirty-one thousand, one hundred forty-one".