311321211001 has 2 divisors, whose sum is σ = 311321211002. Its totient is φ = 311321211000.

The previous prime is 311321210999. The next prime is 311321211007. The reversal of 311321211001 is 100112123113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 305322553600 + 5998657401 = 552560^2 + 77451^2 .

It is a cyclic number.

It is not a de Polignac number, because 311321211001 - 2¹ = 311321210999 is a prime.

Together with 311321210999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (311321211007) 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, 155660605500 + 155660605501.

It is an arithmetic number, because the mean of its divisors is an integer number (155660605501).

Almost surely, 2^311321211001 is an apocalyptic number.

It is an amenable number.

311321211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

311321211001 is an equidigital number, since it uses as much as digits as its factorization.

311321211001 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 16.

Adding to 311321211001 its reverse (100112123113), we get a palindrome (411433334114).

It can be divided in two parts, 3113212 and 11001, that added together give a palindrome (3124213).

The spelling of 311321211001 in words is "three hundred eleven billion, three hundred twenty-one million, two hundred eleven thousand, one".