100033213057 has 2 divisors, whose sum is σ = 100033213058. Its totient is φ = 100033213056.

The previous prime is 100033213001. The next prime is 100033213081. The reversal of 100033213057 is 750312330001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99109113856 + 924099201 = 314816^2 + 30399^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100033213057 is a prime.

It is not a weakly prime, because it can be changed into another prime (100033213457) 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, 50016606528 + 50016606529.

It is an arithmetic number, because the mean of its divisors is an integer number (50016606529).

Almost surely, 2^100033213057 is an apocalyptic number.

It is an amenable number.

100033213057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100033213057 is an equidigital number, since it uses as much as digits as its factorization.

100033213057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 25.

Adding to 100033213057 its reverse (750312330001), we get a palindrome (850345543058).

The spelling of 100033213057 in words is "one hundred billion, thirty-three million, two hundred thirteen thousand, fifty-seven".