221311121343133 has 2 divisors, whose sum is σ = 221311121343134. Its totient is φ = 221311121343132.

The previous prime is 221311121343107. The next prime is 221311121343149. The reversal of 221311121343133 is 331343121113122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203178283499844 + 18132837843289 = 14254062^2 + 4258267^2 .

It is a cyclic number.

It is not a de Polignac number, because 221311121343133 - 2⁹ = 221311121342621 is a prime.

It is a super-2 number, since 2×221311121343133² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221311121343095 and 221311121343104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221311121343173) 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, 110655560671566 + 110655560671567.

It is an arithmetic number, because the mean of its divisors is an integer number (110655560671567).

Almost surely, 2^{221311121343133} is an apocalyptic number.

It is an amenable number.

221311121343133 is a deficient number, since it is larger than the sum of its proper divisors (1).

221311121343133 is an equidigital number, since it uses as much as digits as its factorization.

221311121343133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 31.

Adding to 221311121343133 its reverse (331343121113122), we get a palindrome (552654242456255).

The spelling of 221311121343133 in words is "two hundred twenty-one trillion, three hundred eleven billion, one hundred twenty-one million, three hundred forty-three thousand, one hundred thirty-three".