133312129 has 2 divisors, whose sum is σ = 133312130. Its totient is φ = 133312128.

The previous prime is 133312103. The next prime is 133312133. The reversal of 133312129 is 921213331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113465104 + 19847025 = 10652^2 + 4455^2 .

It is a cyclic number.

It is not a de Polignac number, because 133312129 - 2¹¹ = 133310081 is a prime.

It is not a weakly prime, because it can be changed into another prime (133312199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66656064 + 66656065.

It is an arithmetic number, because the mean of its divisors is an integer number (66656065).

Almost surely, 2^133312129 is an apocalyptic number.

It is an amenable number.

133312129 is a deficient number, since it is larger than the sum of its proper divisors (1).

133312129 is an equidigital number, since it uses as much as digits as its factorization.

133312129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 972, while the sum is 25.

The square root of 133312129 is about 11546.0871727179. The cubic root of 133312129 is about 510.8458716922.

The spelling of 133312129 in words is "one hundred thirty-three million, three hundred twelve thousand, one hundred twenty-nine".