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131303122020313 is a prime number
BaseRepresentation
bin11101110110101101100011…
…111100100010011111011001
3122012220110022022222210201221
4131312231203330202133121
5114202232243214122223
61143131453241212041
736441223524133165
oct3566554374423731
9565813268883657
10131303122020313
11389233833514a1
1212887511a91021
135835aa6417509
14245d168233ca5
15102a767616b5d
hex776b63f227d9

131303122020313 has 2 divisors, whose sum is σ = 131303122020314. Its totient is φ = 131303122020312.

The previous prime is 131303122020271. The next prime is 131303122020463. The reversal of 131303122020313 is 313020221303131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122795586454489 + 8507535565824 = 11081317^2 + 2916768^2 .

It is an emirp because it is prime and its reverse (313020221303131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131303122020313 - 29 = 131303122019801 is a prime.

It is not a weakly prime, because it can be changed into another prime (131303122020613) 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, 65651561010156 + 65651561010157.

It is an arithmetic number, because the mean of its divisors is an integer number (65651561010157).

Almost surely, 2131303122020313 is an apocalyptic number.

It is an amenable number.

131303122020313 is a deficient number, since it is larger than the sum of its proper divisors (1).

131303122020313 is an equidigital number, since it uses as much as digits as its factorization.

131303122020313 is an odious number, because the sum of its binary digits is odd.

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

Adding to 131303122020313 its reverse (313020221303131), we get a palindrome (444323343323444).

The spelling of 131303122020313 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twenty-two million, twenty thousand, three hundred thirteen".