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13123013023 is a prime number
BaseRepresentation
bin11000011100011000…
…10100100110011111
31020212120021010121101
430032030110212133
5203333442404043
610010103413531
7643125525121
oct141614244637
936776233541
1013123013023
115624664a0a
122662a542a7
131311a12183
148c6c2b211
1551c15024d
hex30e31499f

13123013023 has 2 divisors, whose sum is σ = 13123013024. Its totient is φ = 13123013022.

The previous prime is 13123013017. The next prime is 13123013051. The reversal of 13123013023 is 32031032131.

13123013023 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 is a cyclic number.

It is not a de Polignac number, because 13123013023 - 213 = 13123004831 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13123013003) 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, 6561506511 + 6561506512.

It is an arithmetic number, because the mean of its divisors is an integer number (6561506512).

Almost surely, 213123013023 is an apocalyptic number.

13123013023 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123013023 is an equidigital number, since it uses as much as digits as its factorization.

13123013023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13123013023 its reverse (32031032131), we get a palindrome (45154045154).

The spelling of 13123013023 in words is "thirteen billion, one hundred twenty-three million, thirteen thousand, twenty-three".