2000033129 has 2 divisors, whose sum is σ = 2000033130. Its totient is φ = 2000033128.

The previous prime is 2000033099. The next prime is 2000033137. The reversal of 2000033129 is 9213300002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1086361600 + 913671529 = 32960^2 + 30227^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000033129 - 2²⁰ = 1998984553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2000033129.

It is not a weakly prime, because it can be changed into another prime (2000033029) 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, 1000016564 + 1000016565.

It is an arithmetic number, because the mean of its divisors is an integer number (1000016565).

Almost surely, 2^2000033129 is an apocalyptic number.

It is an amenable number.

2000033129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000033129 is an equidigital number, since it uses as much as digits as its factorization.

2000033129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 2000033129 is about 44721.7299419421. The cubic root of 2000033129 is about 1259.9280065105.

The spelling of 2000033129 in words is "two billion, thirty-three thousand, one hundred twenty-nine".