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111121333013 is a prime number
BaseRepresentation
bin110011101111101011…
…0001111101100010101
3101121211020101121002102
41213133112033230111
53310034030124023
6123014243451445
711012455513625
oct1473726175425
9347736347072
10111121333013
1143143106209
1219652386b85
13a62b909972
1455420b6885
152d55794628
hex19df58fb15

111121333013 has 2 divisors, whose sum is σ = 111121333014. Its totient is φ = 111121333012.

The previous prime is 111121332943. The next prime is 111121333031. The reversal of 111121333013 is 310333121111.

Together with next prime (111121333031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62129052049 + 48992280964 = 249257^2 + 221342^2 .

It is a cyclic number.

It is not a de Polignac number, because 111121333013 - 234 = 93941463829 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111121333093) 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, 55560666506 + 55560666507.

It is an arithmetic number, because the mean of its divisors is an integer number (55560666507).

Almost surely, 2111121333013 is an apocalyptic number.

It is an amenable number.

111121333013 is a deficient number, since it is larger than the sum of its proper divisors (1).

111121333013 is an equidigital number, since it uses as much as digits as its factorization.

111121333013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 111121333013 its reverse (310333121111), we get a palindrome (421454454124).

The spelling of 111121333013 in words is "one hundred eleven billion, one hundred twenty-one million, three hundred thirty-three thousand, thirteen".