133005041 has 8 divisors (see below), whose sum is σ = 143329704. Its totient is φ = 122693760.

The previous prime is 133005031. The next prime is 133005053. The reversal of 133005041 is 140500331.

It can be written as a sum of positive squares in 4 ways, for example, as 3500641 + 129504400 = 1871^2 + 11380^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 133005041 - 2²⁶ = 65896177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133005011) 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, 28805 + ... + 33101.

It is an arithmetic number, because the mean of its divisors is an integer number (17916213).

Almost surely, 2^133005041 is an apocalyptic number.

It is an amenable number.

133005041 is a deficient number, since it is larger than the sum of its proper divisors (10324663).

133005041 is a wasteful number, since it uses less digits than its factorization.

133005041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6691.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 133005041 is about 11532.7811476677. The cubic root of 133005041 is about 510.4533211480.

Adding to 133005041 its reverse (140500331), we get a palindrome (273505372).

The spelling of 133005041 in words is "one hundred thirty-three million, five thousand, forty-one".