31313011310101 has 2 divisors, whose sum is σ = 31313011310102. Its totient is φ = 31313011310100.

The previous prime is 31313011310083. The next prime is 31313011310111. The reversal of 31313011310101 is 10101311031313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30422130171876 + 890881138225 = 5515626^2 + 943865^2 .

It is a cyclic number.

It is not a de Polignac number, because 31313011310101 - 2³³ = 31304421375509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31313011310111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15656505655050 + 15656505655051.

It is an arithmetic number, because the mean of its divisors is an integer number (15656505655051).

Almost surely, 2^{31313011310101} is an apocalyptic number.

It is an amenable number.

31313011310101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31313011310101 is an equidigital number, since it uses as much as digits as its factorization.

31313011310101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 31313011310101 its reverse (10101311031313), we get a palindrome (41414322341414).

The spelling of 31313011310101 in words is "thirty-one trillion, three hundred thirteen billion, eleven million, three hundred ten thousand, one hundred one".