2205322141133 has 2 divisors, whose sum is σ = 2205322141134. Its totient is φ = 2205322141132.

The previous prime is 2205322141097. The next prime is 2205322141147. The reversal of 2205322141133 is 3311412235022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1221073620484 + 984248520649 = 1105022^2 + 992093^2 .

It is a cyclic number.

It is not a de Polignac number, because 2205322141133 - 2⁸ = 2205322140877 is a prime.

It is a super-3 number, since 3×2205322141133³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2205322141096 and 2205322141105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2205322141153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1102661070566 + 1102661070567.

It is an arithmetic number, because the mean of its divisors is an integer number (1102661070567).

Almost surely, 2^{2205322141133} is an apocalyptic number.

It is an amenable number.

2205322141133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2205322141133 is an equidigital number, since it uses as much as digits as its factorization.

2205322141133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 2205322141133 its reverse (3311412235022), we get a palindrome (5516734376155).

The spelling of 2205322141133 in words is "two trillion, two hundred five billion, three hundred twenty-two million, one hundred forty-one thousand, one hundred thirty-three".