21133502216117 has 2 divisors, whose sum is σ = 21133502216118. Its totient is φ = 21133502216116.

The previous prime is 21133502216069. The next prime is 21133502216119. The reversal of 21133502216117 is 71161220533112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12171627753796 + 8961874462321 = 3488786^2 + 2993639^2 .

It is a cyclic number.

It is not a de Polignac number, because 21133502216117 - 2³⁶ = 21064782739381 is a prime.

Together with 21133502216119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21133502216119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10566751108058 + 10566751108059.

It is an arithmetic number, because the mean of its divisors is an integer number (10566751108059).

Almost surely, 2^{21133502216117} is an apocalyptic number.

It is an amenable number.

21133502216117 is a deficient number, since it is larger than the sum of its proper divisors (1).

21133502216117 is an equidigital number, since it uses as much as digits as its factorization.

21133502216117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 35.

Adding to 21133502216117 its reverse (71161220533112), we get a palindrome (92294722749229).

The spelling of 21133502216117 in words is "twenty-one trillion, one hundred thirty-three billion, five hundred two million, two hundred sixteen thousand, one hundred seventeen".