100033033132057 has 2 divisors, whose sum is σ = 100033033132058. Its totient is φ = 100033033132056.

The previous prime is 100033033132007. The next prime is 100033033132073. The reversal of 100033033132057 is 750231330330001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55231710694416 + 44801322437641 = 7431804^2 + 6693379^2 .

It is a cyclic number.

It is not a de Polignac number, because 100033033132057 - 2⁷ = 100033033131929 is a prime.

It is not a weakly prime, because it can be changed into another prime (100033033132007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50016516566028 + 50016516566029.

It is an arithmetic number, because the mean of its divisors is an integer number (50016516566029).

Almost surely, 2^{100033033132057} is an apocalyptic number.

It is an amenable number.

100033033132057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100033033132057 is an equidigital number, since it uses as much as digits as its factorization.

100033033132057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17010, while the sum is 31.

Adding to 100033033132057 its reverse (750231330330001), we get a palindrome (850264363462058).

The spelling of 100033033132057 in words is "one hundred trillion, thirty-three billion, thirty-three million, one hundred thirty-two thousand, fifty-seven".