113011 has 2 divisors, whose sum is σ = 113012. Its totient is φ = 113010.

The previous prime is 112997. The next prime is 113017. The reversal of 113011 is 110311.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (110311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113011 - 2⁵ = 112979 is a prime.

It is a super-2 number, since 2×113011² = 25542972242, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112985 and 113003.

It is not a weakly prime, because it can be changed into another prime (113017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56505 + 56506.

It is an arithmetic number, because the mean of its divisors is an integer number (56506).

2¹¹³⁰¹¹ is an apocalyptic number.

113011 is a deficient number, since it is larger than the sum of its proper divisors (1).

113011 is an equidigital number, since it uses as much as digits as its factorization.

113011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 113011 is about 336.1710873945. The cubic root of 113011 is about 48.3474499656.

Adding to 113011 its reverse (110311), we get a palindrome (223322).

The spelling of 113011 in words is "one hundred thirteen thousand, eleven".