13829611378021 has 2 divisors, whose sum is σ = 13829611378022. Its totient is φ = 13829611378020.

The previous prime is 13829611378013. The next prime is 13829611378073. The reversal of 13829611378021 is 12087311692831.

It is an a-pointer prime, because the next prime (13829611378073) can be obtained adding 13829611378021 to its sum of digits (52).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8641630312225 + 5187981065796 = 2939665^2 + 2277714^2 .

It is a cyclic number.

It is not a de Polignac number, because 13829611378021 - 2³ = 13829611378013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13829611378021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13829611378001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6914805689010 + 6914805689011.

It is an arithmetic number, because the mean of its divisors is an integer number (6914805689011).

Almost surely, 2^{13829611378021} is an apocalyptic number.

It is an amenable number.

13829611378021 is a deficient number, since it is larger than the sum of its proper divisors (1).

13829611378021 is an equidigital number, since it uses as much as digits as its factorization.

13829611378021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 13829611378021 in words is "thirteen trillion, eight hundred twenty-nine billion, six hundred eleven million, three hundred seventy-eight thousand, twenty-one".