31321012001 has 2 divisors, whose sum is σ = 31321012002. Its totient is φ = 31321012000.

The previous prime is 31321011989. The next prime is 31321012027. The reversal of 31321012001 is 10021012313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30206787601 + 1114224400 = 173801^2 + 33380^2 .

It is a cyclic number.

It is not a de Polignac number, because 31321012001 - 2¹⁸ = 31320749857 is a prime.

It is not a weakly prime, because it can be changed into another prime (31321012031) 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, 15660506000 + 15660506001.

It is an arithmetic number, because the mean of its divisors is an integer number (15660506001).

Almost surely, 2^31321012001 is an apocalyptic number.

It is an amenable number.

31321012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31321012001 is an equidigital number, since it uses as much as digits as its factorization.

31321012001 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 31321012001 its reverse (10021012313), we get a palindrome (41342024314).

The spelling of 31321012001 in words is "thirty-one billion, three hundred twenty-one million, twelve thousand, one".