133105097 has 2 divisors, whose sum is σ = 133105098. Its totient is φ = 133105096.

The previous prime is 133105079. The next prime is 133105129. The reversal of 133105097 is 790501331.

Together with previous prime (133105079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83247376 + 49857721 = 9124^2 + 7061^2 .

It is a cyclic number.

It is not a de Polignac number, because 133105097 - 2¹⁰ = 133104073 is a prime.

It is a Chen prime.

It is equal to p_7544261 and since 133105097 and 7544261 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (133105067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66552548 + 66552549.

It is an arithmetic number, because the mean of its divisors is an integer number (66552549).

Almost surely, 2^133105097 is an apocalyptic number.

It is an amenable number.

133105097 is a deficient number, since it is larger than the sum of its proper divisors (1).

133105097 is an equidigital number, since it uses as much as digits as its factorization.

133105097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2835, while the sum is 29.

The square root of 133105097 is about 11537.1182277031. The cubic root of 133105097 is about 510.5812890187.

The spelling of 133105097 in words is "one hundred thirty-three million, one hundred five thousand, ninety-seven".