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111123201313 is a prime number
BaseRepresentation
bin110011101111101110…
…1010111110100100001
3101121211100220111220201
41213133131113310201
53310040014420223
6123014351505201
711012510424565
oct1473735276441
9347740814821
10111123201313
1143144171963
1219652b28201
13a62c112177
1455424416a5
152d55a12ead
hex19df757d21

111123201313 has 2 divisors, whose sum is σ = 111123201314. Its totient is φ = 111123201312.

The previous prime is 111123201311. The next prime is 111123201323. The reversal of 111123201313 is 313102321111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69404321809 + 41718879504 = 263447^2 + 204252^2 .

It is a cyclic number.

It is not a de Polignac number, because 111123201313 - 21 = 111123201311 is a prime.

Together with 111123201311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (111123201311) 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, 55561600656 + 55561600657.

It is an arithmetic number, because the mean of its divisors is an integer number (55561600657).

Almost surely, 2111123201313 is an apocalyptic number.

It is an amenable number.

111123201313 is a deficient number, since it is larger than the sum of its proper divisors (1).

111123201313 is an equidigital number, since it uses as much as digits as its factorization.

111123201313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 111123201313 its reverse (313102321111), we get a palindrome (424225522424).

The spelling of 111123201313 in words is "one hundred eleven billion, one hundred twenty-three million, two hundred one thousand, three hundred thirteen".