Search a number
-
+
131303023111213 is a prime number
BaseRepresentation
bin11101110110101101011110…
…000011001110110000101101
3122012220110001102212200221221
4131312231132003032300231
5114202232042404024323
61143131435345223341
736441221213333362
oct3566553603166055
9565813042780857
10131303023111213
1138923332535638
12128874a4931b51
135835a8ba96415
14245d159048469
15102a75daca55d
hex776b5e0cec2d

131303023111213 has 2 divisors, whose sum is σ = 131303023111214. Its totient is φ = 131303023111212.

The previous prime is 131303023111207. The next prime is 131303023111217. The reversal of 131303023111213 is 312111320303131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78523931445129 + 52779091666084 = 8861373^2 + 7264922^2 .

It is an emirp because it is prime and its reverse (312111320303131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131303023111213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131303023111217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65651511555606 + 65651511555607.

It is an arithmetic number, because the mean of its divisors is an integer number (65651511555607).

Almost surely, 2131303023111213 is an apocalyptic number.

It is an amenable number.

131303023111213 is a deficient number, since it is larger than the sum of its proper divisors (1).

131303023111213 is an equidigital number, since it uses as much as digits as its factorization.

131303023111213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 131303023111213 its reverse (312111320303131), we get a palindrome (443414343414344).

The spelling of 131303023111213 in words is "one hundred thirty-one trillion, three hundred three billion, twenty-three million, one hundred eleven thousand, two hundred thirteen".