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333311130013 is a prime number
BaseRepresentation
bin1001101100110101110…
…01000011100110011101
31011212100000200202121011
410312122321003212131
520430110122130023
6413042050135221
733036521600431
oct4663271034635
91155300622534
10333311130013
111193a1497314
1254721281511
132557b1a2024
14121bd2229c1
158a0bd3850d
hex4d9ae4399d

333311130013 has 2 divisors, whose sum is σ = 333311130014. Its totient is φ = 333311130012.

The previous prime is 333311130011. The next prime is 333311130203. The reversal of 333311130013 is 310031113333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 332349944004 + 961186009 = 576498^2 + 31003^2 .

It is an emirp because it is prime and its reverse (310031113333) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 333311130013 - 21 = 333311130011 is a prime.

It is a super-2 number, since 2×3333111300132 (a number of 24 digits) contains 22 as substring.

Together with 333311130011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (333311130011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166655565006 + 166655565007.

It is an arithmetic number, because the mean of its divisors is an integer number (166655565007).

Almost surely, 2333311130013 is an apocalyptic number.

It is an amenable number.

333311130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

333311130013 is an equidigital number, since it uses as much as digits as its factorization.

333311130013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 333311130013 its reverse (310031113333), we get a palindrome (643342243346).

The spelling of 333311130013 in words is "three hundred thirty-three billion, three hundred eleven million, one hundred thirty thousand, thirteen".