213001444129 has 2 divisors, whose sum is σ = 213001444130. Its totient is φ = 213001444128.

The previous prime is 213001444111. The next prime is 213001444141. The reversal of 213001444129 is 921444100312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206383947025 + 6617497104 = 454295^2 + 81348^2 .

It is a cyclic number.

It is not a de Polignac number, because 213001444129 - 2²⁵ = 212967889697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213001444129.

It is not a weakly prime, because it can be changed into another prime (213001144129) 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, 106500722064 + 106500722065.

It is an arithmetic number, because the mean of its divisors is an integer number (106500722065).

Almost surely, 2^213001444129 is an apocalyptic number.

It is an amenable number.

213001444129 is a deficient number, since it is larger than the sum of its proper divisors (1).

213001444129 is an equidigital number, since it uses as much as digits as its factorization.

213001444129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 213001444129 in words is "two hundred thirteen billion, one million, four hundred forty-four thousand, one hundred twenty-nine".