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11331131210101 is a prime number
BaseRepresentation
bin1010010011100011110000…
…0011001111100101110101
31111010020122000110000222001
42210320330003033211311
52441122124042210401
640033241054335301
72246434665056323
oct244707403174565
944106560400861
1011331131210101
11367956219111a
121330070aba531
136426a0aa5431
142b2603066d13
15149b36e40601
hexa4e3c0cf975

11331131210101 has 2 divisors, whose sum is σ = 11331131210102. Its totient is φ = 11331131210100.

The previous prime is 11331131210081. The next prime is 11331131210107. The reversal of 11331131210101 is 10101213113311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7219458479025 + 4111672731076 = 2686905^2 + 2027726^2 .

It is a cyclic number.

It is not a de Polignac number, because 11331131210101 - 27 = 11331131209973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11331131210107) 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, 5665565605050 + 5665565605051.

It is an arithmetic number, because the mean of its divisors is an integer number (5665565605051).

Almost surely, 211331131210101 is an apocalyptic number.

It is an amenable number.

11331131210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331131210101 is an equidigital number, since it uses as much as digits as its factorization.

11331131210101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 11331131210101 its reverse (10101213113311), we get a palindrome (21432344323412).

The spelling of 11331131210101 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, two hundred ten thousand, one hundred one".