21033311133193 has 2 divisors, whose sum is σ = 21033311133194. Its totient is φ = 21033311133192.

The previous prime is 21033311133077. The next prime is 21033311133199. The reversal of 21033311133193 is 39133111333012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21024306641529 + 9004491664 = 4585227^2 + 94892^2 .

It is a cyclic number.

It is not a de Polignac number, because 21033311133193 - 2²⁹ = 21032774262281 is a prime.

It is not a weakly prime, because it can be changed into another prime (21033311133199) 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, 10516655566596 + 10516655566597.

It is an arithmetic number, because the mean of its divisors is an integer number (10516655566597).

Almost surely, 2^{21033311133193} is an apocalyptic number.

It is an amenable number.

21033311133193 is a deficient number, since it is larger than the sum of its proper divisors (1).

21033311133193 is an equidigital number, since it uses as much as digits as its factorization.

21033311133193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 34.

The spelling of 21033311133193 in words is "twenty-one trillion, thirty-three billion, three hundred eleven million, one hundred thirty-three thousand, one hundred ninety-three".