211331303311393 has 2 divisors, whose sum is σ = 211331303311394. Its totient is φ = 211331303311392.

The previous prime is 211331303311363. The next prime is 211331303311537. The reversal of 211331303311393 is 393113303133112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133009812208144 + 78321491103249 = 11532988^2 + 8849943^2 .

It is a cyclic number.

It is not a de Polignac number, because 211331303311393 - 2¹⁷ = 211331303180321 is a prime.

It is not a weakly prime, because it can be changed into another prime (211331303311333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105665651655696 + 105665651655697.

It is an arithmetic number, because the mean of its divisors is an integer number (105665651655697).

Almost surely, 2^{211331303311393} is an apocalyptic number.

It is an amenable number.

211331303311393 is a deficient number, since it is larger than the sum of its proper divisors (1).

211331303311393 is an equidigital number, since it uses as much as digits as its factorization.

211331303311393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39366, while the sum is 37.

The spelling of 211331303311393 in words is "two hundred eleven trillion, three hundred thirty-one billion, three hundred three million, three hundred eleven thousand, three hundred ninety-three".