100013357 has 2 divisors, whose sum is σ = 100013358. Its totient is φ = 100013356.

The previous prime is 100013351. The next prime is 100013371. The reversal of 100013357 is 753310001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60310756 + 39702601 = 7766^2 + 6301^2 .

It is a cyclic number.

It is not a de Polignac number, because 100013357 - 2⁴ = 100013341 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100013351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006678 + 50006679.

It is an arithmetic number, because the mean of its divisors is an integer number (50006679).

Almost surely, 2^100013357 is an apocalyptic number.

It is an amenable number.

100013357 is a deficient number, since it is larger than the sum of its proper divisors (1).

100013357 is an equidigital number, since it uses as much as digits as its factorization.

100013357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 20.

The square root of 100013357 is about 10000.6678277003. The cubic root of 100013357 is about 464.1795483419.

Adding to 100013357 its reverse (753310001), we get a palindrome (853323358).

The spelling of 100013357 in words is "one hundred million, thirteen thousand, three hundred fifty-seven".