133505101 has 8 divisors (see below), whose sum is σ = 135637560. Its totient is φ = 131380992.

The previous prime is 133505089. The next prime is 133505111. The reversal of 133505101 is 101505331.

It can be written as a sum of positive squares in 4 ways, for example, as 30969225 + 102535876 = 5565^2 + 10126^2 .

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 133505101 - 2⁵ = 133505069 is a prime.

It is a super-2 number, since 2×133505101² = 35647223986040402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133505111) 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, 35361 + ... + 38953.

It is an arithmetic number, because the mean of its divisors is an integer number (16954695).

Almost surely, 2^133505101 is an apocalyptic number.

It is an amenable number.

133505101 is a deficient number, since it is larger than the sum of its proper divisors (2132459).

133505101 is an equidigital number, since it uses as much as digits as its factorization.

133505101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4175.

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 133505101 is about 11554.4407480414. The cubic root of 133505101 is about 511.0922394296.

The spelling of 133505101 in words is "one hundred thirty-three million, five hundred five thousand, one hundred one".