311121 has 20 divisors (see below), whose sum is σ = 487872. Its totient is φ = 197208.

The previous prime is 311111. The next prime is 311123. The reversal of 311121 is 121113.

It is not a de Polignac number, because 311121 - 2¹⁵ = 278353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1780 + ... + 1946.

2³¹¹¹²¹ is an apocalyptic number.

It is an amenable number.

311121 is a deficient number, since it is larger than the sum of its proper divisors (176751).

311121 is a wasteful number, since it uses less digits than its factorization.

311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its digits is 6, while the sum is 9.

The square root of 311121 is about 557.7822155645. The cubic root of 311121 is about 67.7604750441.

Adding to 311121 its reverse (121113), we get a palindrome (432234).

It can be divided in two parts, 31112 and 1, that added together give a palindrome (31113).

The spelling of 311121 in words is "three hundred eleven thousand, one hundred twenty-one", and thus it is an iban number.