10101001313173 has 2 divisors, whose sum is σ = 10101001313174. Its totient is φ = 10101001313172.

The previous prime is 10101001313021. The next prime is 10101001313213. The reversal of 10101001313173 is 37131310010101.

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., 9148314045924 + 952687267249 = 3024618^2 + 976057^2 .

It is an emirp because it is prime and its reverse (37131310010101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101001313173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101001313573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050500656586 + 5050500656587.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500656587).

Almost surely, 2^{10101001313173} is an apocalyptic number.

It is an amenable number.

10101001313173 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101001313173 is an equidigital number, since it uses as much as digits as its factorization.

10101001313173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 22.

Adding to 10101001313173 its reverse (37131310010101), we get a palindrome (47232311323274).

The spelling of 10101001313173 in words is "ten trillion, one hundred one billion, one million, three hundred thirteen thousand, one hundred seventy-three".