Search a number
-
+
131320220211121 is a prime number
BaseRepresentation
bin11101110110111101011111…
…000100111101011110110001
3122012222002102221020220010011
4131312331133010331132301
5114203022302333223441
61143143402030534521
736442400322303034
oct3566753704753661
9565862387226104
10131320220211121
113892a6578862a7
121288a8a4067441
13583759c869a96
14245dd0ad9301b
15102ae18737581
hex776f5f13d7b1

131320220211121 has 2 divisors, whose sum is σ = 131320220211122. Its totient is φ = 131320220211120.

The previous prime is 131320220211107. The next prime is 131320220211127. The reversal of 131320220211121 is 121112022023131.

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., 131315808594721 + 4411616400 = 11459311^2 + 66420^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131320220211121 is a prime.

It is a super-3 number, since 3×1313202202111213 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131320220211092 and 131320220211101.

It is not a weakly prime, because it can be changed into another prime (131320220211127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65660110105560 + 65660110105561.

It is an arithmetic number, because the mean of its divisors is an integer number (65660110105561).

Almost surely, 2131320220211121 is an apocalyptic number.

It is an amenable number.

131320220211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

131320220211121 is an equidigital number, since it uses as much as digits as its factorization.

131320220211121 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 131320220211121 its reverse (121112022023131), we get a palindrome (252432242234252).

The spelling of 131320220211121 in words is "one hundred thirty-one trillion, three hundred twenty billion, two hundred twenty million, two hundred eleven thousand, one hundred twenty-one".