100113311033 has 2 divisors, whose sum is σ = 100113311034. Its totient is φ = 100113311032.

The previous prime is 100113310963. The next prime is 100113311069. The reversal of 100113311033 is 330113311001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66487653904 + 33625657129 = 257852^2 + 183373^2 .

It is a cyclic number.

It is not a de Polignac number, because 100113311033 - 2²⁸ = 99844875577 is a prime.

It is not a weakly prime, because it can be changed into another prime (100113311533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056655516 + 50056655517.

It is an arithmetic number, because the mean of its divisors is an integer number (50056655517).

Almost surely, 2^100113311033 is an apocalyptic number.

It is an amenable number.

100113311033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113311033 is an equidigital number, since it uses as much as digits as its factorization.

100113311033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 100113311033 its reverse (330113311001), we get a palindrome (430226622034).

The spelling of 100113311033 in words is "one hundred billion, one hundred thirteen million, three hundred eleven thousand, thirty-three".