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13200135023197 is a prime number
BaseRepresentation
bin1100000000010110010101…
…0110111110101001011101
31201201220212002212002210001
43000011211112332221131
53212232334031220242
644024020332414301
72531451436260133
oct300054526765135
951656762762701
1013200135023197
11422a167103911
121592336617391
137499c8c61575
14338c66013753
1517d5748cceb7
hexc01655bea5d

13200135023197 has 2 divisors, whose sum is σ = 13200135023198. Its totient is φ = 13200135023196.

The previous prime is 13200135023177. The next prime is 13200135023261. The reversal of 13200135023197 is 79132053100231.

It is a happy number.

13200135023197 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9844401981241 + 3355733041956 = 3137579^2 + 1831866^2 .

It is a cyclic number.

It is not a de Polignac number, because 13200135023197 - 219 = 13200134498909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13200135023167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6600067511598 + 6600067511599.

It is an arithmetic number, because the mean of its divisors is an integer number (6600067511599).

Almost surely, 213200135023197 is an apocalyptic number.

It is an amenable number.

13200135023197 is a deficient number, since it is larger than the sum of its proper divisors (1).

13200135023197 is an equidigital number, since it uses as much as digits as its factorization.

13200135023197 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34020, while the sum is 37.

The spelling of 13200135023197 in words is "thirteen trillion, two hundred billion, one hundred thirty-five million, twenty-three thousand, one hundred ninety-seven".