100313113 has 2 divisors, whose sum is σ = 100313114. Its totient is φ = 100313112.

The previous prime is 100313093. The next prime is 100313149. The reversal of 100313113 is 311313001.

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., 60016009 + 40297104 = 7747^2 + 6348^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100313113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100313093 and 100313102.

It is not a weakly prime, because it can be changed into another prime (100313513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156556 + 50156557.

It is an arithmetic number, because the mean of its divisors is an integer number (50156557).

Almost surely, 2^100313113 is an apocalyptic number.

It is an amenable number.

100313113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313113 is an equidigital number, since it uses as much as digits as its factorization.

100313113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 100313113 is about 10015.6434141796. The cubic root of 100313113 is about 464.6428258847.

Adding to 100313113 its reverse (311313001), we get a palindrome (411626114).

The spelling of 100313113 in words is "one hundred million, three hundred thirteen thousand, one hundred thirteen".