31300101073 has 2 divisors, whose sum is σ = 31300101074. Its totient is φ = 31300101072.

The previous prime is 31300100971. The next prime is 31300101083. The reversal of 31300101073 is 37010100313.

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., 21542019984 + 9758081089 = 146772^2 + 98783^2 .

It is an emirp because it is prime and its reverse (37010100313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31300101073 - 2²¹ = 31298003921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31300101073.

It is not a weakly prime, because it can be changed into another prime (31300101083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15650050536 + 15650050537.

It is an arithmetic number, because the mean of its divisors is an integer number (15650050537).

Almost surely, 2^31300101073 is an apocalyptic number.

It is an amenable number.

31300101073 is a deficient number, since it is larger than the sum of its proper divisors (1).

31300101073 is an equidigital number, since it uses as much as digits as its factorization.

31300101073 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 19.

Adding to 31300101073 its reverse (37010100313), we get a palindrome (68310201386).

The spelling of 31300101073 in words is "thirty-one billion, three hundred million, one hundred one thousand, seventy-three".