Search a number
-
+
131202144330133 is a prime number
BaseRepresentation
bin11101110101001111100001…
…001101001110000110010101
3122012112210200000122122200211
4131311033201031032012111
5114144103442422031013
61143013233311005421
736431020306003042
oct3565174115160625
9565483600578624
10131202144330133
1138894576050288
121286ba30809871
1358294031ac496
1424583093d21c9
151027d0765623d
hex7753e134e195

131202144330133 has 2 divisors, whose sum is σ = 131202144330134. Its totient is φ = 131202144330132.

The previous prime is 131202144330119. The next prime is 131202144330139. The reversal of 131202144330133 is 331033441202131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127445517337329 + 3756626992804 = 11289177^2 + 1938202^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131202144330133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131202144330095 and 131202144330104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131202144330139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65601072165066 + 65601072165067.

It is an arithmetic number, because the mean of its divisors is an integer number (65601072165067).

Almost surely, 2131202144330133 is an apocalyptic number.

It is an amenable number.

131202144330133 is a deficient number, since it is larger than the sum of its proper divisors (1).

131202144330133 is an equidigital number, since it uses as much as digits as its factorization.

131202144330133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 131202144330133 its reverse (331033441202131), we get a palindrome (462235585532264).

The spelling of 131202144330133 in words is "one hundred thirty-one trillion, two hundred two billion, one hundred forty-four million, three hundred thirty thousand, one hundred thirty-three".