Search a number
-
+
1300031103313 is a prime number
BaseRepresentation
bin10010111010101111111…
…001000110000101010001
311121021121101212122221201
4102322233321012011101
5132244430430301223
62433120454151201
7162631661023525
oct22725771060521
94537541778851
101300031103313
11461381736608
1218bb55952501
1395791697677
1446cc9763d85
1523c3ba1aead
hex12eafe46151

1300031103313 has 2 divisors, whose sum is σ = 1300031103314. Its totient is φ = 1300031103312.

The previous prime is 1300031103311. The next prime is 1300031103377. The reversal of 1300031103313 is 3133011300031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1232914874689 + 67116228624 = 1110367^2 + 259068^2 .

It is a cyclic number.

It is not a de Polignac number, because 1300031103313 - 21 = 1300031103311 is a prime.

Together with 1300031103311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1300031103311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 650015551656 + 650015551657.

It is an arithmetic number, because the mean of its divisors is an integer number (650015551657).

Almost surely, 21300031103313 is an apocalyptic number.

It is an amenable number.

1300031103313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1300031103313 is an equidigital number, since it uses as much as digits as its factorization.

1300031103313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 1300031103313 its reverse (3133011300031), we get a palindrome (4433042403344).

The spelling of 1300031103313 in words is "one trillion, three hundred billion, thirty-one million, one hundred three thousand, three hundred thirteen".