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11331122220013 is a prime number
BaseRepresentation
bin1010010011100011101110…
…0000111100101111101101
31111010020121101112021212211
42210320323200330233231
52441122114242020023
640033240133530421
72246434525464211
oct244707340745755
944106541467784
1011331122220013
1136795581007a2
121330069aa3a11
1364269bc7845b
142b2601ba6941
15149b36266a0d
hexa4e3b83cbed

11331122220013 has 2 divisors, whose sum is σ = 11331122220014. Its totient is φ = 11331122220012.

The previous prime is 11331122220007. The next prime is 11331122220029. The reversal of 11331122220013 is 31002222113311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10977380383369 + 353741836644 = 3313213^2 + 594762^2 .

It is a cyclic number.

It is not a de Polignac number, because 11331122220013 - 213 = 11331122211821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11331122220083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5665561110006 + 5665561110007.

It is an arithmetic number, because the mean of its divisors is an integer number (5665561110007).

Almost surely, 211331122220013 is an apocalyptic number.

It is an amenable number.

11331122220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331122220013 is an equidigital number, since it uses as much as digits as its factorization.

11331122220013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 11331122220013 its reverse (31002222113311), we get a palindrome (42333344333324).

The spelling of 11331122220013 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-two million, two hundred twenty thousand, thirteen".