Search a number
-
+
13131521040317 is a prime number
BaseRepresentation
bin1011111100010110101110…
…1001011001111110111101
31201111100202021112121221212
42333011223221121332331
53210121323341242232
643532312032534205
72523502222114541
oct277055351317675
951440667477855
1013131521040317
11420305731aa39
121580b879b1365
137433b2a0acb4
143357d750da21
1517b8aacedeb2
hexbf16ba59fbd

13131521040317 has 2 divisors, whose sum is σ = 13131521040318. Its totient is φ = 13131521040316.

The previous prime is 13131521040307. The next prime is 13131521040367. The reversal of 13131521040317 is 71304012513131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12297232441081 + 834288599236 = 3506741^2 + 913394^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131521040317 - 222 = 13131516846013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13131521040307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565760520158 + 6565760520159.

It is an arithmetic number, because the mean of its divisors is an integer number (6565760520159).

Almost surely, 213131521040317 is an apocalyptic number.

It is an amenable number.

13131521040317 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131521040317 is an equidigital number, since it uses as much as digits as its factorization.

13131521040317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

Adding to 13131521040317 its reverse (71304012513131), we get a palindrome (84435533553448).

The spelling of 13131521040317 in words is "thirteen trillion, one hundred thirty-one billion, five hundred twenty-one million, forty thousand, three hundred seventeen".