1000001131601 has 2 divisors, whose sum is σ = 1000001131602. Its totient is φ = 1000001131600.

The previous prime is 1000001131573. The next prime is 1000001131637. The reversal of 1000001131601 is 1061311000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 546534918400 + 453466213201 = 739280^2 + 673399^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000001131601 - 2¹⁸ = 1000000869457 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000001431601) 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 as a sum of consecutive naturals, namely, 500000565800 + 500000565801.

It is an arithmetic number, because the mean of its divisors is an integer number (500000565801).

Almost surely, 2^{1000001131601} is an apocalyptic number.

It is an amenable number.

1000001131601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000001131601 is an equidigital number, since it uses as much as digits as its factorization.

1000001131601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1000001131601 its reverse (1061311000001), we get a palindrome (2061312131602).

The spelling of 1000001131601 in words is "one trillion, one million, one hundred thirty-one thousand, six hundred one".