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11001111100013 is a prime number
BaseRepresentation
bin1010000000010110010101…
…0100011011101001101101
31102221200210100101101222202
42200011211110123221231
52420220233420200023
635221501330151245
72213542534320056
oct240054524335155
942850710341882
1011001111100013
1135615aa465891
121298109a22525
1361a528690198
142a0656d6372d
1514126ded4128
hexa016551ba6d

11001111100013 has 2 divisors, whose sum is σ = 11001111100014. Its totient is φ = 11001111100012.

The previous prime is 11001111099919. The next prime is 11001111100033. The reversal of 11001111100013 is 31000111110011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10174326437284 + 826784662729 = 3189722^2 + 909277^2 .

It is a cyclic number.

It is not a de Polignac number, because 11001111100013 - 222 = 11001106905709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11001111099967 and 11001111100003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11001111100033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500555550006 + 5500555550007.

It is an arithmetic number, because the mean of its divisors is an integer number (5500555550007).

Almost surely, 211001111100013 is an apocalyptic number.

It is an amenable number.

11001111100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11001111100013 is an equidigital number, since it uses as much as digits as its factorization.

11001111100013 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.

Adding to 11001111100013 its reverse (31000111110011), we get a palindrome (42001222210024).

The spelling of 11001111100013 in words is "eleven trillion, one billion, one hundred eleven million, one hundred thousand, thirteen".