2013102029 has 2 divisors, whose sum is σ = 2013102030. Its totient is φ = 2013102028.

The previous prime is 2013102023. The next prime is 2013102043. The reversal of 2013102029 is 9202013102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1546455625 + 466646404 = 39325^2 + 21602^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013102029 - 2⁸ = 2013101773 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2013102029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013102023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006551014 + 1006551015.

It is an arithmetic number, because the mean of its divisors is an integer number (1006551015).

Almost surely, 2^2013102029 is an apocalyptic number.

It is an amenable number.

2013102029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013102029 is an equidigital number, since it uses as much as digits as its factorization.

2013102029 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 2013102029 is about 44867.6055634798. The cubic root of 2013102029 is about 1262.6663175197. Note that the first 3 decimals are identical.

The spelling of 2013102029 in words is "two billion, thirteen million, one hundred two thousand, twenty-nine".