100313 has 2 divisors, whose sum is σ = 100314. Its totient is φ = 100312.

The previous prime is 100297. The next prime is 100333. The reversal of 100313 is 313001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 38809 = 248^2 + 197^2 .

It is a cyclic number.

It is not a de Polignac number, because 100313 - 2⁴ = 100297 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100313.

It is not a weakly prime, because it can be changed into another prime (100333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156 + 50157.

It is an arithmetic number, because the mean of its divisors is an integer number (50157).

2¹⁰⁰³¹³ is an apocalyptic number.

It is an amenable number.

100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313 is an equidigital number, since it uses as much as digits as its factorization.

100313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 100313 is about 316.7222758191. The cubic root of 100313 is about 46.4642651415.

Adding to 100313 its reverse (313001), we get a palindrome (413314).

The spelling of 100313 in words is "one hundred thousand, three hundred thirteen".