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13010201681 is a prime number
BaseRepresentation
bin11000001110111011…
…11110110001010001
31020120200222201112112
430013131332301101
5203121102423211
65550553435105
7640255614101
oct140735766121
936520881475
1013010201681
115576a130a4
12263110ba95
1312c45342b9
148b5c63201
155122b988b
hex30777ec51

13010201681 has 2 divisors, whose sum is σ = 13010201682. Its totient is φ = 13010201680.

The previous prime is 13010201671. The next prime is 13010201749. The reversal of 13010201681 is 18610201031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10068115600 + 2942086081 = 100340^2 + 54241^2 .

It is an emirp because it is prime and its reverse (18610201031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13010201681 is a prime.

It is a super-2 number, since 2×130102016812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13010201621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6505100840 + 6505100841.

It is an arithmetic number, because the mean of its divisors is an integer number (6505100841).

Almost surely, 213010201681 is an apocalyptic number.

It is an amenable number.

13010201681 is a deficient number, since it is larger than the sum of its proper divisors (1).

13010201681 is an equidigital number, since it uses as much as digits as its factorization.

13010201681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 13010201681 in words is "thirteen billion, ten million, two hundred one thousand, six hundred eighty-one".