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11331131033141 is a prime number
BaseRepresentation
bin1010010011100011110000…
…0010100100011000110101
31111010020122000010001012222
42210320330002210120311
52441122124021030031
640033241050452125
72246434663421363
oct244707402443065
944106560101188
1011331131033141
113679562080177
121330070a34045
136426a0a42a1a
142b260301c633
15149b36e07e7b
hexa4e3c0a4635

11331131033141 has 2 divisors, whose sum is σ = 11331131033142. Its totient is φ = 11331131033140.

The previous prime is 11331131033137. The next prime is 11331131033147. The reversal of 11331131033141 is 14133013113311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11001964920241 + 329166112900 = 3316921^2 + 573730^2 .

It is a cyclic number.

It is not a de Polignac number, because 11331131033141 - 22 = 11331131033137 is a prime.

It is a super-2 number, since 2×113311310331412 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11331131033141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11331131033147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5665565516570 + 5665565516571.

It is an arithmetic number, because the mean of its divisors is an integer number (5665565516571).

Almost surely, 211331131033141 is an apocalyptic number.

It is an amenable number.

11331131033141 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331131033141 is an equidigital number, since it uses as much as digits as its factorization.

11331131033141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 11331131033141 its reverse (14133013113311), we get a palindrome (25464144146452).

The spelling of 11331131033141 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, thirty-three thousand, one hundred forty-one".