133005411 has 48 divisors (see below), whose sum is σ = 243659520. Its totient is φ = 67901760.

The previous prime is 133005409. The next prime is 133005419. The reversal of 133005411 is 114500331.

It is not a de Polignac number, because 133005411 - 2¹ = 133005409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133005419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39261 + ... + 42513.

It is an arithmetic number, because the mean of its divisors is an integer number (5076240).

Almost surely, 2^133005411 is an apocalyptic number.

133005411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133005411 is a deficient number, since it is larger than the sum of its proper divisors (110654109).

133005411 is a wasteful number, since it uses less digits than its factorization.

133005411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 133005411 is about 11532.7971888870. The cubic root of 133005411 is about 510.4537944823.

Adding to 133005411 its reverse (114500331), we get a palindrome (247505742).

The spelling of 133005411 in words is "one hundred thirty-three million, five thousand, four hundred eleven".