100113329 has 2 divisors, whose sum is σ = 100113330. Its totient is φ = 100113328.

The previous prime is 100113313. The next prime is 100113347. The reversal of 100113329 is 923311001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64770304 + 35343025 = 8048^2 + 5945^2 .

It is a cyclic number.

It is not a de Polignac number, because 100113329 - 2⁴ = 100113313 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100113329.

It is not a weakly prime, because it can be changed into another prime (100112329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056664 + 50056665.

It is an arithmetic number, because the mean of its divisors is an integer number (50056665).

Almost surely, 2^100113329 is an apocalyptic number.

It is an amenable number.

100113329 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113329 is an equidigital number, since it uses as much as digits as its factorization.

100113329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 100113329 is about 10005.6648454763. The cubic root of 100113329 is about 464.3341593721.

The spelling of 100113329 in words is "one hundred million, one hundred thirteen thousand, three hundred twenty-nine".