113121 has 6 divisors (see below), whose sum is σ = 163410. Its totient is φ = 75408.

The previous prime is 113117. The next prime is 113123. The reversal of 113121 is 121311.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 225 = 336^2 + 15^2 .

It is not a de Polignac number, because 113121 - 2² = 113117 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: 12569 = 113121 / (1 + 1 + 3 + 1 + 2 + 1).

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (113123) 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, 6276 + ... + 6293.

It is an arithmetic number, because the mean of its divisors is an integer number (27235).

2¹¹³¹²¹ is an apocalyptic number.

It is an amenable number.

113121 is a deficient number, since it is larger than the sum of its proper divisors (50289).

113121 is a wasteful number, since it uses less digits than its factorization.

113121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12575 (or 12572 counting only the distinct ones).

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

The square root of 113121 is about 336.3346547711. The cubic root of 113121 is about 48.3631313150.

Adding to 113121 its reverse (121311), we get a palindrome (234432).

The spelling of 113121 in words is "one hundred thirteen thousand, one hundred twenty-one".