133831129 has 2 divisors, whose sum is σ = 133831130. Its totient is φ = 133831128.

The previous prime is 133831099. The next prime is 133831147. The reversal of 133831129 is 921138331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124992400 + 8838729 = 11180^2 + 2973^2 .

It is an emirp because it is prime and its reverse (921138331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133831129 - 2⁵ = 133831097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133831129.

It is not a weakly prime, because it can be changed into another prime (133831189) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66915564 + 66915565.

It is an arithmetic number, because the mean of its divisors is an integer number (66915565).

Almost surely, 2^133831129 is an apocalyptic number.

It is an amenable number.

133831129 is a deficient number, since it is larger than the sum of its proper divisors (1).

133831129 is an equidigital number, since it uses as much as digits as its factorization.

133831129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 31.

The square root of 133831129 is about 11568.5404870277. The cubic root of 133831129 is about 511.5079412078.

The spelling of 133831129 in words is "one hundred thirty-three million, eight hundred thirty-one thousand, one hundred twenty-nine".