31313002011001 has 2 divisors, whose sum is σ = 31313002011002. Its totient is φ = 31313002011000.

The previous prime is 31313002010993. The next prime is 31313002011017. The reversal of 31313002011001 is 10011020031313.

It is an a-pointer prime, because the next prime (31313002011017) can be obtained adding 31313002011001 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29677173800976 + 1635828210025 = 5447676^2 + 1278995^2 .

It is a cyclic number.

It is not a de Polignac number, because 31313002011001 - 2³ = 31313002010993 is a prime.

It is not a weakly prime, because it can be changed into another prime (31313002011101) 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, 15656501005500 + 15656501005501.

It is an arithmetic number, because the mean of its divisors is an integer number (15656501005501).

Almost surely, 2^{31313002011001} is an apocalyptic number.

It is an amenable number.

31313002011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31313002011001 is an equidigital number, since it uses as much as digits as its factorization.

31313002011001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 31313002011001 its reverse (10011020031313), we get a palindrome (41324022042314).

The spelling of 31313002011001 in words is "thirty-one trillion, three hundred thirteen billion, two million, eleven thousand, one".