20005107214133 has 2 divisors, whose sum is σ = 20005107214134. Its totient is φ = 20005107214132.

The previous prime is 20005107214123. The next prime is 20005107214159. The reversal of 20005107214133 is 33141270150002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16395194613604 + 3609912600529 = 4049098^2 + 1899977^2 .

It is a cyclic number.

It is not a de Polignac number, because 20005107214133 - 2¹² = 20005107210037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20005107214096 and 20005107214105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20005107214123) 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, 10002553607066 + 10002553607067.

It is an arithmetic number, because the mean of its divisors is an integer number (10002553607067).

Almost surely, 2^{20005107214133} is an apocalyptic number.

It is an amenable number.

20005107214133 is a deficient number, since it is larger than the sum of its proper divisors (1).

20005107214133 is an equidigital number, since it uses as much as digits as its factorization.

20005107214133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

Adding to 20005107214133 its reverse (33141270150002), we get a palindrome (53146377364135).

The spelling of 20005107214133 in words is "twenty trillion, five billion, one hundred seven million, two hundred fourteen thousand, one hundred thirty-three".