100134413117 has 2 divisors, whose sum is σ = 100134413118. Its totient is φ = 100134413116.

The previous prime is 100134413101. The next prime is 100134413131. The reversal of 100134413117 is 711314431001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83166484996 + 16967928121 = 288386^2 + 130261^2 .

It is a cyclic number.

It is not a de Polignac number, because 100134413117 - 2⁴ = 100134413101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100134413417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50067206558 + 50067206559.

It is an arithmetic number, because the mean of its divisors is an integer number (50067206559).

Almost surely, 2^100134413117 is an apocalyptic number.

It is an amenable number.

100134413117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100134413117 is an equidigital number, since it uses as much as digits as its factorization.

100134413117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 100134413117 its reverse (711314431001), we get a palindrome (811448844118).

The spelling of 100134413117 in words is "one hundred billion, one hundred thirty-four million, four hundred thirteen thousand, one hundred seventeen".