100635313 has 2 divisors, whose sum is σ = 100635314. Its totient is φ = 100635312.

The previous prime is 100635253. The next prime is 100635341. The reversal of 100635313 is 313536001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100560784 + 74529 = 10028^2 + 273^2 .

It is a cyclic number.

It is not a de Polignac number, because 100635313 - 2⁹ = 100634801 is a prime.

It is not a weakly prime, because it can be changed into another prime (100635113) 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, 50317656 + 50317657.

It is an arithmetic number, because the mean of its divisors is an integer number (50317657).

Almost surely, 2^100635313 is an apocalyptic number.

It is an amenable number.

100635313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100635313 is an equidigital number, since it uses as much as digits as its factorization.

100635313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 100635313 is about 10031.7153568071. The cubic root of 100635313 is about 465.1397629749.

It can be divided in two parts, 10063 and 5313, that added together give a square (15376 = 124²).

The spelling of 100635313 in words is "one hundred million, six hundred thirty-five thousand, three hundred thirteen".