Search a number
-
+
131103210013 is a prime number
BaseRepresentation
bin111101000011001011…
…1000011101000011101
3110112101210211010020221
41322012113003220131
54121444410210023
6140121124441341
712320600620036
oct1720627035035
9415353733227
10131103210013
1150667387146
12214aa249251
13c49460a619
1464b9c01a8d
153624b3085d
hex1e865c3a1d

131103210013 has 2 divisors, whose sum is σ = 131103210014. Its totient is φ = 131103210012.

The previous prime is 131103209989. The next prime is 131103210019. The reversal of 131103210013 is 310012301131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110152963449 + 20950246564 = 331893^2 + 144742^2 .

It is a cyclic number.

It is not a de Polignac number, because 131103210013 - 225 = 131069655581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131103210019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65551605006 + 65551605007.

It is an arithmetic number, because the mean of its divisors is an integer number (65551605007).

Almost surely, 2131103210013 is an apocalyptic number.

It is an amenable number.

131103210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131103210013 is an equidigital number, since it uses as much as digits as its factorization.

131103210013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 131103210013 its reverse (310012301131), we get a palindrome (441115511144).

The spelling of 131103210013 in words is "one hundred thirty-one billion, one hundred three million, two hundred ten thousand, thirteen".