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13123203123101 is a prime number
BaseRepresentation
bin1011111011110111101111…
…0111000100011110011101
31201110120021120220122121212
42332331323313010132131
53210002304444414401
643524414415034205
72523056131022201
oct276757367043635
951416246818555
1013123203123101
1141aa579050695
12157b44620b965
137426886659a6
1433524892ab01
1517b570955dbb
hexbef7bdc479d

13123203123101 has 2 divisors, whose sum is σ = 13123203123102. Its totient is φ = 13123203123100.

The previous prime is 13123203123061. The next prime is 13123203123139. The reversal of 13123203123101 is 10132130232131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13070929159876 + 52273963225 = 3615374^2 + 228635^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13123203123101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13123203123301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561601561550 + 6561601561551.

It is an arithmetic number, because the mean of its divisors is an integer number (6561601561551).

Almost surely, 213123203123101 is an apocalyptic number.

It is an amenable number.

13123203123101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123203123101 is an equidigital number, since it uses as much as digits as its factorization.

13123203123101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13123203123101 its reverse (10132130232131), we get a palindrome (23255333355232).

The spelling of 13123203123101 in words is "thirteen trillion, one hundred twenty-three billion, two hundred three million, one hundred twenty-three thousand, one hundred one".