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10131301 is a prime number
BaseRepresentation
bin100110101001…
…011101100101
3201001201112101
4212221131211
510043200201
61001052101
7152054215
oct46513545
921051471
1010131301
11579a884
123487031
13213956b
1414ba245
15d51d01
hex9a9765

10131301 has 2 divisors, whose sum is σ = 10131302. Its totient is φ = 10131300.

The previous prime is 10131299. The next prime is 10131311. The reversal of 10131301 is 10313101.

It is an a-pointer prime, because the next prime (10131311) can be obtained adding 10131301 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9928801 + 202500 = 3151^2 + 450^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131301 - 21 = 10131299 is a prime.

Together with 10131299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065650 + 5065651.

It is an arithmetic number, because the mean of its divisors is an integer number (5065651).

Almost surely, 210131301 is an apocalyptic number.

It is an amenable number.

10131301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131301 is an equidigital number, since it uses as much as digits as its factorization.

10131301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 10131301 is about 3182.9704679748. The cubic root of 10131301 is about 216.3823033489.

Adding to 10131301 its reverse (10313101), we get a palindrome (20444402).

It can be divided in two parts, 10 and 131301, that multiplied together give a triangular number (1313010 = T1620).

The spelling of 10131301 in words is "ten million, one hundred thirty-one thousand, three hundred one".