113534523301005 has 24 divisors (see below), whose sum is σ = 196793572106040. Its totient is φ = 60551623180800.

The previous prime is 113534523300983. The next prime is 113534523301057. The reversal of 113534523301005 is 500103325435311.

113534523301005 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 345 + 2 + 3 + 301 + 0 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51496310744649 + 62038212556356 = 7176093^2 + 7876434^2 .

It is not a de Polignac number, because 113534523301005 - 2⁹ = 113534523300493 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22657305 + ... + 27210705.

It is an arithmetic number, because the mean of its divisors is an integer number (8199732171085).

Almost surely, 2^{113534523301005} is an apocalyptic number.

113534523301005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113534523301005 is a deficient number, since it is larger than the sum of its proper divisors (83259048805035).

113534523301005 is a wasteful number, since it uses less digits than its factorization.

113534523301005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107501 (or 5107498 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 113534523301005 its reverse (500103325435311), we get a palindrome (613637848736316).

The spelling of 113534523301005 in words is "one hundred thirteen trillion, five hundred thirty-four billion, five hundred twenty-three million, three hundred one thousand, five".