Search a number
-
+
131132323213 is a prime number
BaseRepresentation
bin111101000100000011…
…0000111010110001101
3110112110211121020001121
41322020012013112031
54122024333320323
6140124044440541
712321403233133
oct1721006072615
9415424536047
10131132323213
1150681861341
12214b7b49151
13c49a661a78
1464bda1d753
153627481a5d
hex1e8818758d

131132323213 has 2 divisors, whose sum is σ = 131132323214. Its totient is φ = 131132323212.

The previous prime is 131132323129. The next prime is 131132323261. The reversal of 131132323213 is 312323231131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78900877449 + 52231445764 = 280893^2 + 228542^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131132323213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131132323813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65566161606 + 65566161607.

It is an arithmetic number, because the mean of its divisors is an integer number (65566161607).

Almost surely, 2131132323213 is an apocalyptic number.

It is an amenable number.

131132323213 is a deficient number, since it is larger than the sum of its proper divisors (1).

131132323213 is an equidigital number, since it uses as much as digits as its factorization.

131132323213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 25.

Adding to 131132323213 its reverse (312323231131), we get a palindrome (443455554344).

The spelling of 131132323213 in words is "one hundred thirty-one billion, one hundred thirty-two million, three hundred twenty-three thousand, two hundred thirteen".