113301113301 has 24 divisors (see below), whose sum is σ = 165307354680. Its totient is φ = 74772720000.

The previous prime is 113301113249. The next prime is 113301113339. The reversal of 113301113301 is 103311103311.

113301113301 is a `hidden beast` number, since 1 + 1 + 330 + 1 + 1 + 1 + 330 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50445609201 + 62855504100 = 224601^2 + 250710^2 .

It is not a de Polignac number, because 113301113301 - 2¹⁴ = 113301096917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113301113371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8993715 + ... + 9006303.

It is an arithmetic number, because the mean of its divisors is an integer number (6887806445).

Almost surely, 2^113301113301 is an apocalyptic number.

It is an amenable number.

113301113301 is a deficient number, since it is larger than the sum of its proper divisors (52006241379).

113301113301 is a wasteful number, since it uses less digits than its factorization.

113301113301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22597 (or 22594 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 113301113301 its reverse (103311103311), we get a palindrome (216612216612).

The spelling of 113301113301 in words is "one hundred thirteen billion, three hundred one million, one hundred thirteen thousand, three hundred one".