311121121 has 2 divisors, whose sum is σ = 311121122. Its totient is φ = 311121120.

The previous prime is 311121073. The next prime is 311121163. The reversal of 311121121 is 121121113.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 290327521 + 20793600 = 17039^2 + 4560^2 .

It is an emirp because it is prime and its reverse (121121113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311121121 - 2¹⁵ = 311088353 is a prime.

It is not a weakly prime, because it can be changed into another prime (311121221) 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, 155560560 + 155560561.

It is an arithmetic number, because the mean of its divisors is an integer number (155560561).

Almost surely, 2^311121121 is an apocalyptic number.

It is an amenable number.

311121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

311121121 is an equidigital number, since it uses as much as digits as its factorization.

311121121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12, while the sum is 13.

The square root of 311121121 is about 17638.6258251600. The cubic root of 311121121 is about 677.6048382852.

Adding to 311121121 its reverse (121121113), we get a palindrome (432242234).

The spelling of 311121121 in words is "three hundred eleven million, one hundred twenty-one thousand, one hundred twenty-one".