31221231001 has 2 divisors, whose sum is σ = 31221231002. Its totient is φ = 31221231000.

The previous prime is 31221230933. The next prime is 31221231011. The reversal of 31221231001 is 10013212213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29089008025 + 2132222976 = 170555^2 + 46176^2 .

It is a cyclic number.

It is not a de Polignac number, because 31221231001 - 2¹⁷ = 31221099929 is a prime.

It is not a weakly prime, because it can be changed into another prime (31221231011) 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, 15610615500 + 15610615501.

It is an arithmetic number, because the mean of its divisors is an integer number (15610615501).

Almost surely, 2^31221231001 is an apocalyptic number.

It is an amenable number.

31221231001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31221231001 is an equidigital number, since it uses as much as digits as its factorization.

31221231001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31221231001 its reverse (10013212213), we get a palindrome (41234443214).

The spelling of 31221231001 in words is "thirty-one billion, two hundred twenty-one million, two hundred thirty-one thousand, one".