133331129 has 2 divisors, whose sum is σ = 133331130. Its totient is φ = 133331128.

The previous prime is 133331083. The next prime is 133331147. The reversal of 133331129 is 921133331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123721129 + 9610000 = 11123^2 + 3100^2 .

It is a cyclic number.

It is not a de Polignac number, because 133331129 - 2¹⁶ = 133265593 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 133331098 and 133331107.

It is not a weakly prime, because it can be changed into another prime (133331929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66665564 + 66665565.

It is an arithmetic number, because the mean of its divisors is an integer number (66665565).

Almost surely, 2^133331129 is an apocalyptic number.

It is an amenable number.

133331129 is a deficient number, since it is larger than the sum of its proper divisors (1).

133331129 is an equidigital number, since it uses as much as digits as its factorization.

133331129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1458, while the sum is 26.

The square root of 133331129 is about 11546.9099329647. The cubic root of 133331129 is about 510.8701395778.

The spelling of 133331129 in words is "one hundred thirty-three million, three hundred thirty-one thousand, one hundred twenty-nine".