2013334129 has 2 divisors, whose sum is σ = 2013334130. Its totient is φ = 2013334128.

The previous prime is 2013334079. The next prime is 2013334163. The reversal of 2013334129 is 9214333102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1699335729 + 313998400 = 41223^2 + 17720^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013334129 - 2²⁷ = 1879116401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013334097 and 2013334106.

It is not a weakly prime, because it can be changed into another prime (2013334199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006667064 + 1006667065.

It is an arithmetic number, because the mean of its divisors is an integer number (1006667065).

Almost surely, 2^2013334129 is an apocalyptic number.

It is an amenable number.

2013334129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013334129 is an equidigital number, since it uses as much as digits as its factorization.

2013334129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 2013334129 is about 44870.1919875545. The cubic root of 2013334129 is about 1262.7148419008.

The spelling of 2013334129 in words is "two billion, thirteen million, three hundred thirty-four thousand, one hundred twenty-nine".