221001013323133 has 2 divisors, whose sum is σ = 221001013323134. Its totient is φ = 221001013323132.

The previous prime is 221001013323119. The next prime is 221001013323137. The reversal of 221001013323133 is 331323310100122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189488081728089 + 31512931595044 = 13765467^2 + 5613638^2 .

It is a cyclic number.

It is not a de Polignac number, because 221001013323133 - 2¹³ = 221001013314941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221001013323098 and 221001013323107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221001013323137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500506661566 + 110500506661567.

It is an arithmetic number, because the mean of its divisors is an integer number (110500506661567).

Almost surely, 2^{221001013323133} is an apocalyptic number.

It is an amenable number.

221001013323133 is a deficient number, since it is larger than the sum of its proper divisors (1).

221001013323133 is an equidigital number, since it uses as much as digits as its factorization.

221001013323133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 221001013323133 its reverse (331323310100122), we get a palindrome (552324323423255).

The spelling of 221001013323133 in words is "two hundred twenty-one trillion, one billion, thirteen million, three hundred twenty-three thousand, one hundred thirty-three".