202013129 has 2 divisors, whose sum is σ = 202013130. Its totient is φ = 202013128.

The previous prime is 202013113. The next prime is 202013131. The reversal of 202013129 is 921310202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 194323600 + 7689529 = 13940^2 + 2773^2 .

It is a cyclic number.

It is not a de Polignac number, because 202013129 - 2⁴ = 202013113 is a prime.

Together with 202013131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 202013129.

It is not a weakly prime, because it can be changed into another prime (202010129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101006564 + 101006565.

It is an arithmetic number, because the mean of its divisors is an integer number (101006565).

Almost surely, 2^202013129 is an apocalyptic number.

It is an amenable number.

202013129 is a deficient number, since it is larger than the sum of its proper divisors (1).

202013129 is an equidigital number, since it uses as much as digits as its factorization.

202013129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 202013129 is about 14213.1322726555. The cubic root of 202013129 is about 586.7591424400.

The spelling of 202013129 in words is "two hundred two million, thirteen thousand, one hundred twenty-nine".