133216317 has 24 divisors (see below), whose sum is σ = 212832984. Its totient is φ = 79761024.

The previous prime is 133216309. The next prime is 133216319. The reversal of 133216317 is 713612331.

133216317 is a `hidden beast` number, since 1 + 3 + 3 + 21 + 631 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4756761 + 128459556 = 2181^2 + 11334^2 .

It is not a de Polignac number, because 133216317 - 2³ = 133216309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133216319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11058 + ... + 19715.

It is an arithmetic number, because the mean of its divisors is an integer number (8868041).

Almost surely, 2^133216317 is an apocalyptic number.

It is an amenable number.

133216317 is a deficient number, since it is larger than the sum of its proper divisors (79616667).

133216317 is a wasteful number, since it uses less digits than its factorization.

133216317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30829 (or 30826 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 133216317 is about 11541.9373157196. The cubic root of 133216317 is about 510.7234599872.

Adding to 133216317 its reverse (713612331), we get a palindrome (846828648).

It can be divided in two parts, 1332 and 16317, that multiplied together give a square (21734244 = 4662²).

The spelling of 133216317 in words is "one hundred thirty-three million, two hundred sixteen thousand, three hundred seventeen".