113444414401 has 2 divisors, whose sum is σ = 113444414402. Its totient is φ = 113444414400.

The previous prime is 113444414387. The next prime is 113444414449. The reversal of 113444414401 is 104414444311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75143967376 + 38300447025 = 274124^2 + 195705^2 .

It is a cyclic number.

It is not a de Polignac number, because 113444414401 - 2⁷ = 113444414273 is a prime.

It is not a weakly prime, because it can be changed into another prime (113444414101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56722207200 + 56722207201.

It is an arithmetic number, because the mean of its divisors is an integer number (56722207201).

Almost surely, 2^113444414401 is an apocalyptic number.

It is an amenable number.

113444414401 is a deficient number, since it is larger than the sum of its proper divisors (1).

113444414401 is an equidigital number, since it uses as much as digits as its factorization.

113444414401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 113444414401 its reverse (104414444311), we get a palindrome (217858858712).

The spelling of 113444414401 in words is "one hundred thirteen billion, four hundred forty-four million, four hundred fourteen thousand, four hundred one".