221313331133357 has 2 divisors, whose sum is σ = 221313331133358. Its totient is φ = 221313331133356.

The previous prime is 221313331133201. The next prime is 221313331133383. The reversal of 221313331133357 is 753331133313122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218880810533641 + 2432520599716 = 14794621^2 + 1559654^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221313331133357 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221313331733357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110656665566678 + 110656665566679.

It is an arithmetic number, because the mean of its divisors is an integer number (110656665566679).

Almost surely, 2^{221313331133357} is an apocalyptic number.

It is an amenable number.

221313331133357 is a deficient number, since it is larger than the sum of its proper divisors (1).

221313331133357 is an equidigital number, since it uses as much as digits as its factorization.

221313331133357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 306180, while the sum is 41.

Adding to 221313331133357 its reverse (753331133313122), we get a palindrome (974644464446479).

The spelling of 221313331133357 in words is "two hundred twenty-one trillion, three hundred thirteen billion, three hundred thirty-one million, one hundred thirty-three thousand, three hundred fifty-seven".