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12202213320133 is a prime number
BaseRepresentation
bin1011000110010000110010…
…0101110010010111000101
31121012112001020010002201121
42301210030211302113011
53044410113102221013
641541341443153541
72366403135613624
oct261441445622705
947175036102647
1012202213320133
113984a253431a1
121450a546758b1
136a6882425235
14302839a076bb
1516261a84358d
hexb190c9725c5

12202213320133 has 2 divisors, whose sum is σ = 12202213320134. Its totient is φ = 12202213320132.

The previous prime is 12202213320131. The next prime is 12202213320163. The reversal of 12202213320133 is 33102331220221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11790590990049 + 411622330084 = 3433743^2 + 641578^2 .

It is a cyclic number.

It is not a de Polignac number, because 12202213320133 - 21 = 12202213320131 is a prime.

It is a super-2 number, since 2×122022133201332 (a number of 27 digits) contains 22 as substring.

Together with 12202213320131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12202213320098 and 12202213320107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12202213320131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6101106660066 + 6101106660067.

It is an arithmetic number, because the mean of its divisors is an integer number (6101106660067).

Almost surely, 212202213320133 is an apocalyptic number.

It is an amenable number.

12202213320133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12202213320133 is an equidigital number, since it uses as much as digits as its factorization.

12202213320133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 12202213320133 its reverse (33102331220221), we get a palindrome (45304544540354).

The spelling of 12202213320133 in words is "twelve trillion, two hundred two billion, two hundred thirteen million, three hundred twenty thousand, one hundred thirty-three".