20130144101213 has 2 divisors, whose sum is σ = 20130144101214. Its totient is φ = 20130144101212.

The previous prime is 20130144101191. The next prime is 20130144101233. The reversal of 20130144101213 is 31210144103102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19849903034329 + 280241066884 = 4455323^2 + 529378^2 .

It is a cyclic number.

It is not a de Polignac number, because 20130144101213 - 2²⁶ = 20130076992349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20130144101233) 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, 10065072050606 + 10065072050607.

It is an arithmetic number, because the mean of its divisors is an integer number (10065072050607).

Almost surely, 2^{20130144101213} is an apocalyptic number.

It is an amenable number.

20130144101213 is a deficient number, since it is larger than the sum of its proper divisors (1).

20130144101213 is an equidigital number, since it uses as much as digits as its factorization.

20130144101213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 20130144101213 its reverse (31210144103102), we get a palindrome (51340288204315).

The spelling of 20130144101213 in words is "twenty trillion, one hundred thirty billion, one hundred forty-four million, one hundred one thousand, two hundred thirteen".