20005762114133 has 2 divisors, whose sum is σ = 20005762114134. Its totient is φ = 20005762114132.

The previous prime is 20005762114067. The next prime is 20005762114189. The reversal of 20005762114133 is 33141126750002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11201023384849 + 8804738729284 = 3346793^2 + 2967278^2 .

It is a cyclic number.

It is not a de Polignac number, because 20005762114133 - 2²⁴ = 20005745336917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20005762114093 and 20005762114102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20005762134133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10002881057066 + 10002881057067.

It is an arithmetic number, because the mean of its divisors is an integer number (10002881057067).

Almost surely, 2^{20005762114133} is an apocalyptic number.

It is an amenable number.

20005762114133 is a deficient number, since it is larger than the sum of its proper divisors (1).

20005762114133 is an equidigital number, since it uses as much as digits as its factorization.

20005762114133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 35.

Adding to 20005762114133 its reverse (33141126750002), we get a palindrome (53146888864135).

The spelling of 20005762114133 in words is "twenty trillion, five billion, seven hundred sixty-two million, one hundred fourteen thousand, one hundred thirty-three".