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131303122003301 is a prime number
BaseRepresentation
bin11101110110101101100011…
…111100011110010101100101
3122012220110022022221221101212
4131312231203330132111211
5114202232243213101201
61143131453241001205
736441223524032453
oct3566554374362545
9565813268857355
10131303122003301
113892338333a736
1212887511a83205
135835aa640c851
14245d16822b9d3
15102a767611abb
hex776b63f1e565

131303122003301 has 2 divisors, whose sum is σ = 131303122003302. Its totient is φ = 131303122003300.

The previous prime is 131303122003297. The next prime is 131303122003349. The reversal of 131303122003301 is 103300221303131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122187710361025 + 9115411642276 = 11053855^2 + 3019174^2 .

It is a cyclic number.

It is not a de Polignac number, because 131303122003301 - 22 = 131303122003297 is a prime.

It is a super-2 number, since 2×1313031220033012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131303122003601) 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, 65651561001650 + 65651561001651.

It is an arithmetic number, because the mean of its divisors is an integer number (65651561001651).

Almost surely, 2131303122003301 is an apocalyptic number.

It is an amenable number.

131303122003301 is a deficient number, since it is larger than the sum of its proper divisors (1).

131303122003301 is an equidigital number, since it uses as much as digits as its factorization.

131303122003301 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 23.

Adding to 131303122003301 its reverse (103300221303131), we get a palindrome (234603343306432).

The spelling of 131303122003301 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twenty-two million, three thousand, three hundred one".