21133330221337 has 2 divisors, whose sum is σ = 21133330221338. Its totient is φ = 21133330221336.

The previous prime is 21133330221287. The next prime is 21133330221343. The reversal of 21133330221337 is 73312203333112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20257344665856 + 875985555481 = 4500816^2 + 935941^2 .

It is a cyclic number.

It is not a de Polignac number, because 21133330221337 - 2⁷ = 21133330221209 is a prime.

It is not a weakly prime, because it can be changed into another prime (21133330221737) 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, 10566665110668 + 10566665110669.

It is an arithmetic number, because the mean of its divisors is an integer number (10566665110669).

Almost surely, 2^{21133330221337} is an apocalyptic number.

It is an amenable number.

21133330221337 is a deficient number, since it is larger than the sum of its proper divisors (1).

21133330221337 is an equidigital number, since it uses as much as digits as its factorization.

21133330221337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 34.

Adding to 21133330221337 its reverse (73312203333112), we get a palindrome (94445533554449).

The spelling of 21133330221337 in words is "twenty-one trillion, one hundred thirty-three billion, three hundred thirty million, two hundred twenty-one thousand, three hundred thirty-seven".