113206401 has 96 divisors (see below), whose sum is σ = 217451520. Its totient is φ = 55036800.

The previous prime is 113206399. The next prime is 113206441. The reversal of 113206401 is 104602311.

It is a happy number.

113206401 is a `hidden beast` number, since 1 + 1 + 3 + 20 + 640 + 1 = 666.

It is not a de Polignac number, because 113206401 - 2¹ = 113206399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113206441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 864106 + ... + 864236.

It is an arithmetic number, because the mean of its divisors is an integer number (2265120).

Almost surely, 2^113206401 is an apocalyptic number.

113206401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113206401 is a deficient number, since it is larger than the sum of its proper divisors (104245119).

113206401 is a wasteful number, since it uses less digits than its factorization.

113206401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 113206401 is about 10639.8496699906. The cubic root of 113206401 is about 483.7529887843.

Adding to 113206401 its reverse (104602311), we get a palindrome (217808712).

The spelling of 113206401 in words is "one hundred thirteen million, two hundred six thousand, four hundred one".