31321000001 has 2 divisors, whose sum is σ = 31321000002. Its totient is φ = 31321000000.

The previous prime is 31320999973. The next prime is 31321000003. The reversal of 31321000001 is 10000012313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18955782400 + 12365217601 = 137680^2 + 111199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31321000001 is a prime.

Together with 31321000003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (31321000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15660500000 + 15660500001.

It is an arithmetic number, because the mean of its divisors is an integer number (15660500001).

Almost surely, 2^31321000001 is an apocalyptic number.

It is an amenable number.

31321000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31321000001 is an equidigital number, since it uses as much as digits as its factorization.

31321000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 31321000001 its reverse (10000012313), we get a palindrome (41321012314).

The spelling of 31321000001 in words is "thirty-one billion, three hundred twenty-one million, one", and thus it is an aban number.