1000133041 has 2 divisors, whose sum is σ = 1000133042. Its totient is φ = 1000133040.

The previous prime is 1000133033. The next prime is 1000133059. The reversal of 1000133041 is 1403310001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 930494016 + 69639025 = 30504^2 + 8345^2 .

It is an emirp because it is prime and its reverse (1403310001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000133041 - 2³ = 1000133033 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000133011) 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, 500066520 + 500066521.

It is an arithmetic number, because the mean of its divisors is an integer number (500066521).

Almost surely, 2^1000133041 is an apocalyptic number.

It is an amenable number.

1000133041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000133041 is an equidigital number, since it uses as much as digits as its factorization.

1000133041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1000133041 is about 31624.8800946344. The cubic root of 1000133041 is about 1000.0443450335.

Adding to 1000133041 its reverse (1403310001), we get a palindrome (2403443042).

The spelling of 1000133041 in words is "one billion, one hundred thirty-three thousand, forty-one".