Search a number
-
+
131413441213189 is a prime number
BaseRepresentation
bin11101111000010100010011…
…011110110111001100000101
3122020022000001200000110102101
4131320110103132313030011
5114211034211422310224
61143254300152312101
736452210402611132
oct3570242336671405
9566260050013371
10131413441213189
1138966144694973
12128a497b6a2631
135843307aa2135
142464631985589
15102d572760044
hex7785137b7305

131413441213189 has 2 divisors, whose sum is σ = 131413441213190. Its totient is φ = 131413441213188.

The previous prime is 131413441213169. The next prime is 131413441213231. The reversal of 131413441213189 is 981312144314131.

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., 131413437144900 + 4068289 = 11463570^2 + 2017^2 .

It is a cyclic number.

It is not a de Polignac number, because 131413441213189 - 211 = 131413441211141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131413441213129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65706720606594 + 65706720606595.

It is an arithmetic number, because the mean of its divisors is an integer number (65706720606595).

Almost surely, 2131413441213189 is an apocalyptic number.

It is an amenable number.

131413441213189 is a deficient number, since it is larger than the sum of its proper divisors (1).

131413441213189 is an equidigital number, since it uses as much as digits as its factorization.

131413441213189 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 248832, while the sum is 46.

The spelling of 131413441213189 in words is "one hundred thirty-one trillion, four hundred thirteen billion, four hundred forty-one million, two hundred thirteen thousand, one hundred eighty-nine".