113527131 has 8 divisors (see below), whose sum is σ = 152868624. Its totient is φ = 74935200.

The previous prime is 113527121. The next prime is 113527157. The reversal of 113527131 is 131725311.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 113527131 - 2⁶ = 113527067 is a prime.

It is a super-4 number, since 4×113527131⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (113527121) 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 7 ways as a sum of consecutive naturals, for example, 187036 + ... + 187641.

It is an arithmetic number, because the mean of its divisors is an integer number (19108578).

Almost surely, 2^113527131 is an apocalyptic number.

113527131 is a deficient number, since it is larger than the sum of its proper divisors (39341493).

113527131 is a wasteful number, since it uses less digits than its factorization.

113527131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374781.

The product of its digits is 630, while the sum is 24.

The square root of 113527131 is about 10654.9111211685. The cubic root of 113527131 is about 484.2094052657.

The spelling of 113527131 in words is "one hundred thirteen million, five hundred twenty-seven thousand, one hundred thirty-one".