113201 has 8 divisors (see below), whose sum is σ = 127008. Its totient is φ = 100000.

The previous prime is 113189. The next prime is 113209. The reversal of 113201 is 102311.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(113201) divides (113201-1)³.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113201 is a prime.

It is a deceptive number, since it divides R₁₁₃₂₀₀.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326 + ... + 576.

It is an arithmetic number, because the mean of its divisors is an integer number (15876).

It is a Poulet number, since it divides 2¹¹³²⁰⁰-1.

2¹¹³²⁰¹ is an apocalyptic number.

113201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113201 is a deficient number, since it is larger than the sum of its proper divisors (13807).

113201 is a wasteful number, since it uses less digits than its factorization.

113201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 113201 is about 336.4535629177. The cubic root of 113201 is about 48.3745295487.

Adding to 113201 its reverse (102311), we get a palindrome (215512).

The spelling of 113201 in words is "one hundred thirteen thousand, two hundred one".