133212132112097 has 2 divisors, whose sum is σ = 133212132112098. Its totient is φ = 133212132112096.

The previous prime is 133212132112067. The next prime is 133212132112127. The reversal of 133212132112097 is 790211231212331.

It is a balanced prime because it is at equal distance from previous prime (133212132112067) and next prime (133212132112127).

It can be written as a sum of positive squares in only one way, i.e., 125276958612961 + 7935173499136 = 11192719^2 + 2816944^2 .

It is a cyclic number.

It is not a de Polignac number, because 133212132112097 - 2²⁸ = 133211863676641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133212132112097.

It is not a weakly prime, because it can be changed into another prime (133212132112067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66606066056048 + 66606066056049.

It is an arithmetic number, because the mean of its divisors is an integer number (66606066056049).

Almost surely, 2^{133212132112097} is an apocalyptic number.

It is an amenable number.

133212132112097 is a deficient number, since it is larger than the sum of its proper divisors (1).

133212132112097 is an equidigital number, since it uses as much as digits as its factorization.

133212132112097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 38.

The spelling of 133212132112097 in words is "one hundred thirty-three trillion, two hundred twelve billion, one hundred thirty-two million, one hundred twelve thousand, ninety-seven".