113113113020001 has 48 divisors (see below), whose sum is σ = 165798874262736. Its totient is φ = 74302835970048.

The previous prime is 113113113019943. The next prime is 113113113020027. The reversal of 113113113020001 is 100020311311311.

113113113020001 is a `hidden beast` number, since 11 + 311 + 311 + 30 + 2 + 0 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 27211079347776 + 85902033672225 = 5216424^2 + 9268335^2 .

It is not a de Polignac number, because 113113113020001 - 2²¹ = 113113110922849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113113113024001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2768763091 + ... + 2768803943.

It is an arithmetic number, because the mean of its divisors is an integer number (3454143213807).

Almost surely, 2^{113113113020001} is an apocalyptic number.

It is an amenable number.

113113113020001 is a deficient number, since it is larger than the sum of its proper divisors (52685761242735).

113113113020001 is a wasteful number, since it uses less digits than its factorization.

113113113020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56882 (or 56879 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 113113113020001 its reverse (100020311311311), we get a palindrome (213133424331312).

The spelling of 113113113020001 in words is "one hundred thirteen trillion, one hundred thirteen billion, one hundred thirteen million, twenty thousand, one".