31312002101 has 2 divisors, whose sum is σ = 31312002102. Its totient is φ = 31312002100.

The previous prime is 31312002097. The next prime is 31312002133. The reversal of 31312002101 is 10120021313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28161874225 + 3150127876 = 167815^2 + 56126^2 .

It is an emirp because it is prime and its reverse (10120021313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31312002101 - 2² = 31312002097 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 (31312002151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15656001050 + 15656001051.

It is an arithmetic number, because the mean of its divisors is an integer number (15656001051).

Almost surely, 2^31312002101 is an apocalyptic number.

It is an amenable number.

31312002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31312002101 is an equidigital number, since it uses as much as digits as its factorization.

31312002101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 31312002101 its reverse (10120021313), we get a palindrome (41432023414).

The spelling of 31312002101 in words is "thirty-one billion, three hundred twelve million, two thousand, one hundred one".