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131101220321221 is a prime number
BaseRepresentation
bin11101110011110001100001…
…101010101011011111000101
3122012012011011110022210111211
4131303301201222223133011
5114140430244400234341
61142455022535131421
736420515312042023
oct3563614152533705
9565164143283454
10131101220321221
1138855796084657
1212854365513b71
13581ca3b11b307
142453493765713
15102539c24b181
hex773c61aab7c5

131101220321221 has 2 divisors, whose sum is σ = 131101220321222. Its totient is φ = 131101220321220.

The previous prime is 131101220321179. The next prime is 131101220321231. The reversal of 131101220321221 is 122123022101131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106119357030625 + 24981863290596 = 10301425^2 + 4998186^2 .

It is a cyclic number.

It is not a de Polignac number, because 131101220321221 - 213 = 131101220313029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131101220321192 and 131101220321201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131101220321231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65550610160610 + 65550610160611.

It is an arithmetic number, because the mean of its divisors is an integer number (65550610160611).

Almost surely, 2131101220321221 is an apocalyptic number.

It is an amenable number.

131101220321221 is a deficient number, since it is larger than the sum of its proper divisors (1).

131101220321221 is an equidigital number, since it uses as much as digits as its factorization.

131101220321221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 131101220321221 its reverse (122123022101131), we get a palindrome (253224242422352).

The spelling of 131101220321221 in words is "one hundred thirty-one trillion, one hundred one billion, two hundred twenty million, three hundred twenty-one thousand, two hundred twenty-one".