133693101 has 18 divisors (see below), whose sum is σ = 203815950. Its totient is φ = 84435696.

The previous prime is 133693097. The next prime is 133693121. The reversal of 133693101 is 101396331.

It can be written as a sum of positive squares in only one way, i.e., 88454025 + 45239076 = 9405^2 + 6726^2 .

It is not a de Polignac number, because 133693101 - 2² = 133693097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133693121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17326 + ... + 23823.

Almost surely, 2^133693101 is an apocalyptic number.

It is an amenable number.

133693101 is a deficient number, since it is larger than the sum of its proper divisors (70122849).

133693101 is a wasteful number, since it uses less digits than its factorization.

133693101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41193 (or 41171 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 133693101 is about 11562.5732862542. The cubic root of 133693101 is about 511.3320312017.

The spelling of 133693101 in words is "one hundred thirty-three million, six hundred ninety-three thousand, one hundred one".