212134144300013 has 24 divisors (see below), whose sum is σ = 231428737174248. Its totient is φ = 194349304461312.

The previous prime is 212134144299953. The next prime is 212134144300049. The reversal of 212134144300013 is 310003441431212.

It can be written as a sum of positive squares in 12 ways, for example, as 115717416383209 + 96416727916804 = 10757203^2 + 9819202^2 .

It is not a de Polignac number, because 212134144300013 - 2¹⁴ = 212134144283629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212134144300213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119444645 + ... + 121207637.

It is an arithmetic number, because the mean of its divisors is an integer number (9642864048927).

Almost surely, 2^{212134144300013} is an apocalyptic number.

It is an amenable number.

212134144300013 is a deficient number, since it is larger than the sum of its proper divisors (19294592874235).

212134144300013 is a wasteful number, since it uses less digits than its factorization.

212134144300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768353 (or 1768340 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 212134144300013 its reverse (310003441431212), we get a palindrome (522137585731225).

The spelling of 212134144300013 in words is "two hundred twelve trillion, one hundred thirty-four billion, one hundred forty-four million, three hundred thousand, thirteen".