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13122221333381 is a prime number
BaseRepresentation
bin1011111011110100000101…
…0101110101101110000101
31201110110202011111120022122
42332331001111311232011
53204443302130132011
643524133143535325
72523022606654406
oct276750125655605
951413664446278
1013122221333381
1141aa114935526
12157b21145a545
13742560133424
1433519439d9ad
1517b5146703db
hexbef41575b85

13122221333381 has 2 divisors, whose sum is σ = 13122221333382. Its totient is φ = 13122221333380.

The previous prime is 13122221333321. The next prime is 13122221333393. The reversal of 13122221333381 is 18333312222131.

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., 12088764072100 + 1033457261281 = 3476890^2 + 1016591^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13122221333381 is a prime.

It is a super-2 number, since 2×131222213333812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13122221333321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561110666690 + 6561110666691.

It is an arithmetic number, because the mean of its divisors is an integer number (6561110666691).

Almost surely, 213122221333381 is an apocalyptic number.

It is an amenable number.

13122221333381 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122221333381 is an equidigital number, since it uses as much as digits as its factorization.

13122221333381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31104, while the sum is 35.

The spelling of 13122221333381 in words is "thirteen trillion, one hundred twenty-two billion, two hundred twenty-one million, three hundred thirty-three thousand, three hundred eighty-one".