121113 has 6 divisors (see below), whose sum is σ = 174954. Its totient is φ = 80736.

The previous prime is 121081. The next prime is 121123. The reversal of 121113 is 311121.

It can be written as a sum of positive squares in only one way, i.e., 121104 + 9 = 348^2 + 3^2 .

It is not a de Polignac number, because 121113 - 2⁵ = 121081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 13457 = 121113 / (1 + 2 + 1 + 1 + 1 + 3).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121095 and 121104.

It is not an unprimeable number, because it can be changed into a prime (121123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6720 + ... + 6737.

It is an arithmetic number, because the mean of its divisors is an integer number (29159).

2¹²¹¹¹³ is an apocalyptic number.

It is an amenable number.

121113 is a deficient number, since it is larger than the sum of its proper divisors (53841).

121113 is a wasteful number, since it uses less digits than its factorization.

121113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13463 (or 13460 counting only the distinct ones).

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

The square root of 121113 is about 348.0129307942. The cubic root of 121113 is about 49.4762665533.

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

The spelling of 121113 in words is "one hundred twenty-one thousand, one hundred thirteen".