113535521220105 has 24 divisors (see below), whose sum is σ = 197466558431688. Its totient is φ = 60345614912256.

The previous prime is 113535521220089. The next prime is 113535521220127. The reversal of 113535521220105 is 501022125535311.

113535521220105 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 3 + 5 + 521 + 2 + 20 + 105 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7181429872761 + 106354091347344 = 2679819^2 + 10312812^2 .

It is not a de Polignac number, because 113535521220105 - 2⁴ = 113535521220089 is a prime.

It is a super-2 number, since 2×113535521220105² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113535521220105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4305467332 + ... + 4305493701.

It is an arithmetic number, because the mean of its divisors is an integer number (8227773267987).

Almost surely, 2^{113535521220105} is an apocalyptic number.

113535521220105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113535521220105 is a deficient number, since it is larger than the sum of its proper divisors (83931037211583).

113535521220105 is a wasteful number, since it uses less digits than its factorization.

113535521220105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8610961337 (or 8610961334 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

Adding to 113535521220105 its reverse (501022125535311), we get a palindrome (614557646755416).

The spelling of 113535521220105 in words is "one hundred thirteen trillion, five hundred thirty-five billion, five hundred twenty-one million, two hundred twenty thousand, one hundred five".