1040134312201 has 2 divisors, whose sum is σ = 1040134312202. Its totient is φ = 1040134312200.

The previous prime is 1040134312177. The next prime is 1040134312213. The reversal of 1040134312201 is 1022134310401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 618055407225 + 422078904976 = 786165^2 + 649676^2 .

It is a cyclic number.

It is not a de Polignac number, because 1040134312201 - 2⁷ = 1040134312073 is a prime.

It is not a weakly prime, because it can be changed into another prime (1040134312501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 520067156100 + 520067156101.

It is an arithmetic number, because the mean of its divisors is an integer number (520067156101).

Almost surely, 2^{1040134312201} is an apocalyptic number.

It is an amenable number.

1040134312201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1040134312201 is an equidigital number, since it uses as much as digits as its factorization.

1040134312201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1040134312201 its reverse (1022134310401), we get a palindrome (2062268622602).

The spelling of 1040134312201 in words is "one trillion, forty billion, one hundred thirty-four million, three hundred twelve thousand, two hundred one".