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13000013023 is a prime number
BaseRepresentation
bin11000001101101110…
…00111010011011111
31020112222211002022211
430012313013103133
5203111000404043
65545551221251
7640103200414
oct140667072337
936488732284
1013000013023
115571194218
122629817827
1312c23a78ca
148b477010b
15511455a9d
hex306dc74df

13000013023 has 2 divisors, whose sum is σ = 13000013024. Its totient is φ = 13000013022.

The previous prime is 13000013021. The next prime is 13000013051. The reversal of 13000013023 is 32031000031.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13000013023 - 21 = 13000013021 is a prime.

Together with 13000013021, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 13000012994 and 13000013012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13000013021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500006511 + 6500006512.

It is an arithmetic number, because the mean of its divisors is an integer number (6500006512).

Almost surely, 213000013023 is an apocalyptic number.

13000013023 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000013023 is an equidigital number, since it uses as much as digits as its factorization.

13000013023 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13000013023 its reverse (32031000031), we get a palindrome (45031013054).

The spelling of 13000013023 in words is "thirteen billion, thirteen thousand, twenty-three".