311101121321201 has 2 divisors, whose sum is σ = 311101121321202. Its totient is φ = 311101121321200.

The previous prime is 311101121321183. The next prime is 311101121321261. The reversal of 311101121321201 is 102123121101113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 271678608120976 + 39422513200225 = 16482676^2 + 6278735^2 .

It is a cyclic number.

It is not a de Polignac number, because 311101121321201 - 2¹⁴ = 311101121304817 is a prime.

It is not a weakly prime, because it can be changed into another prime (311101121321261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155550560660600 + 155550560660601.

It is an arithmetic number, because the mean of its divisors is an integer number (155550560660601).

Almost surely, 2^{311101121321201} is an apocalyptic number.

It is an amenable number.

311101121321201 is a deficient number, since it is larger than the sum of its proper divisors (1).

311101121321201 is an equidigital number, since it uses as much as digits as its factorization.

311101121321201 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 20.

Adding to 311101121321201 its reverse (102123121101113), we get a palindrome (413224242422314).

The spelling of 311101121321201 in words is "three hundred eleven trillion, one hundred one billion, one hundred twenty-one million, three hundred twenty-one thousand, two hundred one".