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1303000313113 is a prime number
BaseRepresentation
bin10010111101100000110…
…111101110110100011001
311121120021022222011002001
4102331200313232310121
5132322021040004423
62434331242441001
7163065363630052
oct22754067566431
94546238864061
101303000313113
11462665786904
12190644203161
1395b4588b345
14470cbc33729
1523d6252bcad
hex12f60deed19

1303000313113 has 2 divisors, whose sum is σ = 1303000313114. Its totient is φ = 1303000313112.

The previous prime is 1303000313077. The next prime is 1303000313141. The reversal of 1303000313113 is 3113130003031.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 817418508544 + 485581804569 = 904112^2 + 696837^2 .

It is an emirp because it is prime and its reverse (3113130003031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1303000313113 - 217 = 1303000182041 is a prime.

It is not a weakly prime, because it can be changed into another prime (1303000313413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 651500156556 + 651500156557.

It is an arithmetic number, because the mean of its divisors is an integer number (651500156557).

Almost surely, 21303000313113 is an apocalyptic number.

It is an amenable number.

1303000313113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303000313113 is an equidigital number, since it uses as much as digits as its factorization.

1303000313113 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 1303000313113 its reverse (3113130003031), we get a palindrome (4416130316144).

The spelling of 1303000313113 in words is "one trillion, three hundred three billion, three hundred thirteen thousand, one hundred thirteen".