813100109 has 2 divisors, whose sum is σ = 813100110. Its totient is φ = 813100108.

The previous prime is 813100103. The next prime is 813100129. The reversal of 813100109 is 901001318.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 783832009 + 29268100 = 27997^2 + 5410^2 .

It is a cyclic number.

It is not a de Polignac number, because 813100109 - 2⁸ = 813099853 is a prime.

It is a super-2 number, since 2×813100109² = 1322263574511623762, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (813100103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406550054 + 406550055.

It is an arithmetic number, because the mean of its divisors is an integer number (406550055).

Almost surely, 2^813100109 is an apocalyptic number.

It is an amenable number.

813100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

813100109 is an equidigital number, since it uses as much as digits as its factorization.

813100109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 23.

The square root of 813100109 is about 28514.9102926872. The cubic root of 813100109 is about 933.3574673890.

The spelling of 813100109 in words is "eight hundred thirteen million, one hundred thousand, one hundred nine".