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11101110001013 is a prime number
BaseRepresentation
bin1010000110001010110110…
…1101111101110101110101
31110022020220102221220200202
42201202231231331311311
52423340033130013023
635335440213450245
72224012566050354
oct241425555756565
943266812856622
1011101110001013
11359aa5521021a
1212b3577340985
13626aa3ba6616
142a5421bb999b
15143b730a3128
hexa18adb7dd75

11101110001013 has 2 divisors, whose sum is σ = 11101110001014. Its totient is φ = 11101110001012.

The previous prime is 11101110001001. The next prime is 11101110001031. The reversal of 11101110001013 is 31010001110111.

Adding to 11101110001013 its reverse (31010001110111), we get a palindrome (42111111111124).

Together with next prime (11101110001031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8311331511844 + 2789778489169 = 2882938^2 + 1670263^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101110001013 - 24 = 11101110000997 is a prime.

It is a super-2 number, since 2×111011100010132 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11101110000985 and 11101110001003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11101110001913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550555000506 + 5550555000507.

It is an arithmetic number, because the mean of its divisors is an integer number (5550555000507).

Almost surely, 211101110001013 is an apocalyptic number.

It is an amenable number.

11101110001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101110001013 is an equidigital number, since it uses as much as digits as its factorization.

11101110001013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 11.

The spelling of 11101110001013 in words is "eleven trillion, one hundred one billion, one hundred ten million, one thousand, thirteen".