211302212211133 has 2 divisors, whose sum is σ = 211302212211134. Its totient is φ = 211302212211132.

The previous prime is 211302212211121. The next prime is 211302212211143. The reversal of 211302212211133 is 331112212203112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196609809584644 + 14692402626489 = 14021762^2 + 3833067^2 .

It is a cyclic number.

It is not a de Polignac number, because 211302212211133 - 2³⁷ = 211164773257661 is a prime.

It is a super-3 number, since 3×211302212211133³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211302212211098 and 211302212211107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211302212211143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105651106105566 + 105651106105567.

It is an arithmetic number, because the mean of its divisors is an integer number (105651106105567).

Almost surely, 2^{211302212211133} is an apocalyptic number.

It is an amenable number.

211302212211133 is a deficient number, since it is larger than the sum of its proper divisors (1).

211302212211133 is an equidigital number, since it uses as much as digits as its factorization.

211302212211133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 211302212211133 its reverse (331112212203112), we get a palindrome (542414424414245).

The spelling of 211302212211133 in words is "two hundred eleven trillion, three hundred two billion, two hundred twelve million, two hundred eleven thousand, one hundred thirty-three".