113007 has 8 divisors (see below), whose sum is σ = 152320. Its totient is φ = 74520.

The previous prime is 112997. The next prime is 113011. The reversal of 113007 is 700311.

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

It is not a de Polignac number, because 113007 - 2¹⁵ = 80239 is a prime.

It is a Duffinian number.

It is a plaindrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 112983 and 113001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282 + ... + 552.

It is an arithmetic number, because the mean of its divisors is an integer number (19040).

2¹¹³⁰⁰⁷ is an apocalyptic number.

113007 is a deficient number, since it is larger than the sum of its proper divisors (39313).

113007 is a wasteful number, since it uses less digits than its factorization.

113007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 113007 is about 336.1651379902. The cubic root of 113007 is about 48.3468795430.

Adding to 113007 its reverse (700311), we get a palindrome (813318).

The spelling of 113007 in words is "one hundred thirteen thousand, seven".