133113 has 4 divisors (see below), whose sum is σ = 177488. Its totient is φ = 88740.

The previous prime is 133109. The next prime is 133117. The reversal of 133113 is 311331.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (133109) and next prime (133117).

It is not a de Polignac number, because 133113 - 2² = 133109 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a D-number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22183 + ... + 22188.

It is an arithmetic number, because the mean of its divisors is an integer number (44372).

2¹³³¹¹³ is an apocalyptic number.

It is an amenable number.

133113 is a deficient number, since it is larger than the sum of its proper divisors (44375).

133113 is an equidigital number, since it uses as much as digits as its factorization.

133113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44374.

The product of its digits is 27, while the sum is 12.

The square root of 133113 is about 364.8465430835. The cubic root of 133113 is about 51.0591393926.

Adding to 133113 its reverse (311331), we get a palindrome (444444).

The spelling of 133113 in words is "one hundred thirty-three thousand, one hundred thirteen".