221313331133393 has 2 divisors, whose sum is σ = 221313331133394. Its totient is φ = 221313331133392.

The previous prime is 221313331133383. The next prime is 221313331133437. The reversal of 221313331133393 is 393331133313122.

221313331133393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188332338836929 + 32980992296464 = 13723423^2 + 5742908^2 .

It is a cyclic number.

It is not a de Polignac number, because 221313331133393 - 2¹⁸ = 221313330871249 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 221313331133393.

It is not a weakly prime, because it can be changed into another prime (221313331133383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110656665566696 + 110656665566697.

It is an arithmetic number, because the mean of its divisors is an integer number (110656665566697).

Almost surely, 2^{221313331133393} is an apocalyptic number.

It is an amenable number.

221313331133393 is a deficient number, since it is larger than the sum of its proper divisors (1).

221313331133393 is an equidigital number, since it uses as much as digits as its factorization.

221313331133393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 236196, while the sum is 41.

The spelling of 221313331133393 in words is "two hundred twenty-one trillion, three hundred thirteen billion, three hundred thirty-one million, one hundred thirty-three thousand, three hundred ninety-three".