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1300002313 is a prime number
BaseRepresentation
bin100110101111100…
…0111011000001001
310100121011221220211
41031133013120021
510130300033223
6332555321121
744133560131
oct11537073011
93317157824
101300002313
116078a9a85
123034501a1
1317943904c
14c4921ac1
15791e0d0d
hex4d7c7609

1300002313 has 2 divisors, whose sum is σ = 1300002314. Its totient is φ = 1300002312.

The previous prime is 1300002311. The next prime is 1300002317. The reversal of 1300002313 is 3132000031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1261102144 + 38900169 = 35512^2 + 6237^2 .

It is a cyclic number.

It is not a de Polignac number, because 1300002313 - 21 = 1300002311 is a prime.

Together with 1300002311, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1300002293 and 1300002302.

It is not a weakly prime, because it can be changed into another prime (1300002311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 650001156 + 650001157.

It is an arithmetic number, because the mean of its divisors is an integer number (650001157).

Almost surely, 21300002313 is an apocalyptic number.

It is an amenable number.

1300002313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1300002313 is an equidigital number, since it uses as much as digits as its factorization.

1300002313 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.

The square root of 1300002313 is about 36055.5448301645. The cubic root of 1300002313 is about 1091.3935303407.

Adding to 1300002313 its reverse (3132000031), we get a palindrome (4432002344).

The spelling of 1300002313 in words is "one billion, three hundred million, two thousand, three hundred thirteen".