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13012012021 is a prime number
BaseRepresentation
bin11000001111001001…
…11000101111110101
31020120211101200212011
430013210320233311
5203122033341041
65551100324221
7640310164051
oct140744705765
936524350764
1013012012021
115577a3a248
122631843671
1312c4a192c8
148b61b4c61
15512525e81
hex307938bf5

13012012021 has 2 divisors, whose sum is σ = 13012012022. Its totient is φ = 13012012020.

The previous prime is 13012011979. The next prime is 13012012031. The reversal of 13012012021 is 12021021031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12480017796 + 531994225 = 111714^2 + 23065^2 .

It is an emirp because it is prime and its reverse (12021021031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13012012021 - 219 = 13011487733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13012011992 and 13012012010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13012012031) 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, 6506006010 + 6506006011.

It is an arithmetic number, because the mean of its divisors is an integer number (6506006011).

Almost surely, 213012012021 is an apocalyptic number.

It is an amenable number.

13012012021 is a deficient number, since it is larger than the sum of its proper divisors (1).

13012012021 is an equidigital number, since it uses as much as digits as its factorization.

13012012021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 13012012021 its reverse (12021021031), we get a palindrome (25033033052).

The spelling of 13012012021 in words is "thirteen billion, twelve million, twelve thousand, twenty-one".