113301305 has 16 divisors (see below), whose sum is σ = 146914320. Its totient is φ = 83386368.

The previous prime is 113301301. The next prime is 113301319. The reversal of 113301305 is 503103311.

It can be written as a sum of positive squares in 8 ways, for example, as 57395776 + 55905529 = 7576^2 + 7477^2 .

It is not a de Polignac number, because 113301305 - 2² = 113301301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113301301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17561 + ... + 23129.

It is an arithmetic number, because the mean of its divisors is an integer number (9182145).

Almost surely, 2^113301305 is an apocalyptic number.

It is an amenable number.

113301305 is a deficient number, since it is larger than the sum of its proper divisors (33613015).

113301305 is a wasteful number, since it uses less digits than its factorization.

113301305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5900.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 113301305 is about 10644.3085731296. The cubic root of 113301305 is about 483.8881321154. Note that the first 3 decimals are identical.

Adding to 113301305 its reverse (503103311), we get a palindrome (616404616).

The spelling of 113301305 in words is "one hundred thirteen million, three hundred one thousand, three hundred five".