133017315 has 32 divisors (see below), whose sum is σ = 216984576. Its totient is φ = 69569280.

The previous prime is 133017263. The next prime is 133017341. The reversal of 133017315 is 513710331.

It is not a de Polignac number, because 133017315 - 2¹⁵ = 132984547 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362262 + ... + 362628.

It is an arithmetic number, because the mean of its divisors is an integer number (6780768).

Almost surely, 2^133017315 is an apocalyptic number.

133017315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133017315 is a deficient number, since it is larger than the sum of its proper divisors (83967261).

133017315 is a wasteful number, since it uses less digits than its factorization.

133017315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 133017315 is about 11533.3132706955. The cubic root of 133017315 is about 510.4690225863.

Adding to 133017315 its reverse (513710331), we get a palindrome (646727646).

The spelling of 133017315 in words is "one hundred thirty-three million, seventeen thousand, three hundred fifteen".