311123101001 has 2 divisors, whose sum is σ = 311123101002. Its totient is φ = 311123101000.

The previous prime is 311123100989. The next prime is 311123101013. The reversal of 311123101001 is 100101321113.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (311123100989) and next prime (311123101013).

It can be written as a sum of positive squares in only one way, i.e., 310890995776 + 232105225 = 557576^2 + 15235^2 .

It is a cyclic number.

It is not a de Polignac number, because 311123101001 - 2³⁴ = 293943231817 is a prime.

It is not a weakly prime, because it can be changed into another prime (311123101061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155561550500 + 155561550501.

It is an arithmetic number, because the mean of its divisors is an integer number (155561550501).

Almost surely, 2^311123101001 is an apocalyptic number.

It is an amenable number.

311123101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

311123101001 is an equidigital number, since it uses as much as digits as its factorization.

311123101001 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 14.

Adding to 311123101001 its reverse (100101321113), we get a palindrome (411224422114).

The spelling of 311123101001 in words is "three hundred eleven billion, one hundred twenty-three million, one hundred one thousand, one".