113545311 has 48 divisors (see below), whose sum is σ = 177985920. Its totient is φ = 64152000.

The previous prime is 113545309. The next prime is 113545321.

113545311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113545311 - 2¹ = 113545309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113545321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 696516 + ... + 696678.

It is an arithmetic number, because the mean of its divisors is an integer number (3708040).

Almost surely, 2^113545311 is an apocalyptic number.

113545311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113545311 is a deficient number, since it is larger than the sum of its proper divisors (64440609).

113545311 is a wasteful number, since it uses less digits than its factorization.

113545311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 113545311 is about 10655.7642147337. The cubic root of 113545311 is about 484.2352506505.

The spelling of 113545311 in words is "one hundred thirteen million, five hundred forty-five thousand, three hundred eleven".