101031317 has 2 divisors, whose sum is σ = 101031318. Its totient is φ = 101031316.

The previous prime is 101031233. The next prime is 101031347. The reversal of 101031317 is 713130101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95433361 + 5597956 = 9769^2 + 2366^2 .

It is an emirp because it is prime and its reverse (713130101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101031317 - 2¹⁴ = 101014933 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101031295 and 101031304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101031347) 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, 50515658 + 50515659.

It is an arithmetic number, because the mean of its divisors is an integer number (50515659).

Almost surely, 2^101031317 is an apocalyptic number.

It is an amenable number.

101031317 is a deficient number, since it is larger than the sum of its proper divisors (1).

101031317 is an equidigital number, since it uses as much as digits as its factorization.

101031317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 101031317 is about 10051.4335793458. The cubic root of 101031317 is about 465.7490789967.

Adding to 101031317 its reverse (713130101), we get a palindrome (814161418).

The spelling of 101031317 in words is "one hundred one million, thirty-one thousand, three hundred seventeen".