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13254123101 is a prime number
BaseRepresentation
bin11000101100000000…
…11101111001011101
31021012200222012211012
430112000131321131
5204121023414401
610031105505005
7646310121212
oct142600357135
937180865735
1013254123101
11569167494a
12269a942165
131332c28cbb
148da3d9b09
155288ec8bb
hex31601de5d

13254123101 has 2 divisors, whose sum is σ = 13254123102. Its totient is φ = 13254123100.

The previous prime is 13254123097. The next prime is 13254123149. The reversal of 13254123101 is 10132145231.

13254123101 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., 11511144100 + 1742979001 = 107290^2 + 41749^2 .

It is a cyclic number.

It is not a de Polignac number, because 13254123101 - 22 = 13254123097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13254123401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6627061550 + 6627061551.

It is an arithmetic number, because the mean of its divisors is an integer number (6627061551).

Almost surely, 213254123101 is an apocalyptic number.

It is an amenable number.

13254123101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13254123101 is an equidigital number, since it uses as much as digits as its factorization.

13254123101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 13254123101 its reverse (10132145231), we get a palindrome (23386268332).

The spelling of 13254123101 in words is "thirteen billion, two hundred fifty-four million, one hundred twenty-three thousand, one hundred one".