31313310330101 has 2 divisors, whose sum is σ = 31313310330102. Its totient is φ = 31313310330100.

The previous prime is 31313310330061. The next prime is 31313310330109. The reversal of 31313310330101 is 10103301331313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23703519127876 + 7609791202225 = 4868626^2 + 2758585^2 .

It is an emirp because it is prime and its reverse (10103301331313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31313310330101 - 2³⁰ = 31312236588277 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31313310330109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15656655165050 + 15656655165051.

It is an arithmetic number, because the mean of its divisors is an integer number (15656655165051).

Almost surely, 2^{31313310330101} is an apocalyptic number.

It is an amenable number.

31313310330101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31313310330101 is an equidigital number, since it uses as much as digits as its factorization.

31313310330101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 31313310330101 its reverse (10103301331313), we get a palindrome (41416611661414).

The spelling of 31313310330101 in words is "thirty-one trillion, three hundred thirteen billion, three hundred ten million, three hundred thirty thousand, one hundred one".