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133001 = 11107113

133001 has 8 divisors (see below), whose sum is σ = 147744. Its totient is φ = 118720.

The previous prime is 132989. The next prime is 133013. The reversal of 133001 is 100331.

It is an interprime number because it is at equal distance from previous prime (132989) and next prime (133013).

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 133001.

It is not an unprimeable number, because it can be changed into a prime (133051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1121 + ... + 1233.

It is an arithmetic number, because the mean of its divisors is an integer number (18468).

2133001 is an apocalyptic number.

133001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133001 is a deficient number, since it is larger than the sum of its proper divisors (14743).

133001 is a wasteful number, since it uses less digits than its factorization.

133001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 133001 is about 364.6930215949. The cubic root of 133001 is about 51.0448151512.

Adding to 133001 its reverse (100331), we get a palindrome (233332).

The spelling of 133001 in words is "one hundred thirty-three thousand, one".

Divisors: 1 11 107 113 1177 1243 12091 133001