100134223734113 has 2 divisors, whose sum is σ = 100134223734114. Its totient is φ = 100134223734112.

The previous prime is 100134223734047. The next prime is 100134223734121. The reversal of 100134223734113 is 311437322431001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64889662489744 + 35244561244369 = 8055412^2 + 5936713^2 .

It is a cyclic number.

It is not a de Polignac number, because 100134223734113 - 2¹⁸ = 100134223471969 is a prime.

It is not a weakly prime, because it can be changed into another prime (100134223734163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50067111867056 + 50067111867057.

It is an arithmetic number, because the mean of its divisors is an integer number (50067111867057).

Almost surely, 2^{100134223734113} is an apocalyptic number.

It is an amenable number.

100134223734113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100134223734113 is an equidigital number, since it uses as much as digits as its factorization.

100134223734113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 100134223734113 in words is "one hundred trillion, one hundred thirty-four billion, two hundred twenty-three million, seven hundred thirty-four thousand, one hundred thirteen".