133527101 has 2 divisors, whose sum is σ = 133527102. Its totient is φ = 133527100.

The previous prime is 133527091. The next prime is 133527103. The reversal of 133527101 is 101725331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68079001 + 65448100 = 8251^2 + 8090^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-133527101 is a prime.

Together with 133527103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133527103) by changing a digit.

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 as a sum of consecutive naturals, namely, 66763550 + 66763551.

It is an arithmetic number, because the mean of its divisors is an integer number (66763551).

Almost surely, 2^133527101 is an apocalyptic number.

It is an amenable number.

133527101 is a deficient number, since it is larger than the sum of its proper divisors (1).

133527101 is an equidigital number, since it uses as much as digits as its factorization.

133527101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 133527101 is about 11555.3927237459. The cubic root of 133527101 is about 511.1203117944.

The spelling of 133527101 in words is "one hundred thirty-three million, five hundred twenty-seven thousand, one hundred one".