Search a number
-
+
131303122012121 is a prime number
BaseRepresentation
bin11101110110101101100011…
…111100100000011111011001
3122012220110022022222101111112
4131312231203330200133121
5114202232243213341441
61143131453241110105
736441223524100253
oct3566554374403731
9565813268871445
10131303122012121
1138923383346324
1212887511a88335
135835aa6413877
14245d168230cd3
15102a7676144eb
hex776b63f207d9

131303122012121 has 2 divisors, whose sum is σ = 131303122012122. Its totient is φ = 131303122012120.

The previous prime is 131303122012093. The next prime is 131303122012171. The reversal of 131303122012121 is 121210221303131.

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., 131232718819225 + 70403192896 = 11455685^2 + 265336^2 .

It is a cyclic number.

It is not a de Polignac number, because 131303122012121 - 26 = 131303122012057 is a prime.

It is not a weakly prime, because it can be changed into another prime (131303122012171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65651561006060 + 65651561006061.

It is an arithmetic number, because the mean of its divisors is an integer number (65651561006061).

Almost surely, 2131303122012121 is an apocalyptic number.

It is an amenable number.

131303122012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

131303122012121 is an equidigital number, since it uses as much as digits as its factorization.

131303122012121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 131303122012121 its reverse (121210221303131), we get a palindrome (252513343315252).

The spelling of 131303122012121 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twenty-two million, twelve thousand, one hundred twenty-one".