101313109 has 2 divisors, whose sum is σ = 101313110. Its totient is φ = 101313108.

The previous prime is 101313103. The next prime is 101313161. The reversal of 101313109 is 901313101.

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., 62062884 + 39250225 = 7878^2 + 6265^2 .

It is a cyclic number.

It is not a de Polignac number, because 101313109 - 2²¹ = 99215957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101313103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50656554 + 50656555.

It is an arithmetic number, because the mean of its divisors is an integer number (50656555).

Almost surely, 2^101313109 is an apocalyptic number.

It is an amenable number.

101313109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101313109 is an equidigital number, since it uses as much as digits as its factorization.

101313109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 19.

The square root of 101313109 is about 10065.4413216709. The cubic root of 101313109 is about 466.1816924899.

The spelling of 101313109 in words is "one hundred one million, three hundred thirteen thousand, one hundred nine".