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13130310301 is a prime number
BaseRepresentation
bin11000011101010000…
…01010001010011101
31020220001222212120221
430032220022022131
5203342324412201
610010524041341
7643244540023
oct141650121235
936801885527
1013130310301
115628799519
122665393251
1313133987a4
148c7baa713
1551cae24a1
hex30ea0a29d

13130310301 has 2 divisors, whose sum is σ = 13130310302. Its totient is φ = 13130310300.

The previous prime is 13130310299. The next prime is 13130310337. The reversal of 13130310301 is 10301303131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13125139225 + 5171076 = 114565^2 + 2274^2 .

It is a cyclic number.

It is not a de Polignac number, because 13130310301 - 21 = 13130310299 is a prime.

Together with 13130310299, 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 (13130610301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565155150 + 6565155151.

It is an arithmetic number, because the mean of its divisors is an integer number (6565155151).

Almost surely, 213130310301 is an apocalyptic number.

It is an amenable number.

13130310301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13130310301 is an equidigital number, since it uses as much as digits as its factorization.

13130310301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 13130310301 its reverse (10301303131), we get a palindrome (23431613432).

The spelling of 13130310301 in words is "thirteen billion, one hundred thirty million, three hundred ten thousand, three hundred one".