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201113122313 is a prime number
BaseRepresentation
bin1011101101001101000…
…1101011011000001001
3201020002220211011020202
42323103101223120021
511243334424403223
6232220132101545
720346525222365
oct2732321533011
9636086734222
10201113122313
11783231294a4
1232b884648b5
1315c70b1592c
149a3bc782a5
15537104d428
hex2ed346b609

201113122313 has 2 divisors, whose sum is σ = 201113122314. Its totient is φ = 201113122312.

The previous prime is 201113122297. The next prime is 201113122319. The reversal of 201113122313 is 313221311102.

It is a happy number.

201113122313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201050901769 + 62220544 = 448387^2 + 7888^2 .

It is a cyclic number.

It is not a de Polignac number, because 201113122313 - 24 = 201113122297 is a prime.

It is not a weakly prime, because it can be changed into another prime (201113122319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100556561156 + 100556561157.

It is an arithmetic number, because the mean of its divisors is an integer number (100556561157).

Almost surely, 2201113122313 is an apocalyptic number.

It is an amenable number.

201113122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

201113122313 is an equidigital number, since it uses as much as digits as its factorization.

201113122313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 201113122313 its reverse (313221311102), we get a palindrome (514334433415).

The spelling of 201113122313 in words is "two hundred one billion, one hundred thirteen million, one hundred twenty-two thousand, three hundred thirteen".