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10010012101213 is a prime number
BaseRepresentation
bin1001000110101010001100…
…1101110010101001011101
31022102221120221202200200211
42101222203031302221131
52303001001044214323
633142311443052421
72052125300656615
oct221524315625135
938387527680624
1010010012101213
11320a249963933
121158010971111
13577c2b4c1a77
142686b6b21a45
151255b3de170d
hex91aa3372a5d

10010012101213 has 2 divisors, whose sum is σ = 10010012101214. Its totient is φ = 10010012101212.

The previous prime is 10010012101183. The next prime is 10010012101259. The reversal of 10010012101213 is 31210121001001.

It is a happy number.

10010012101213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9098439715044 + 911572386169 = 3016362^2 + 954763^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10010012101213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010012101193 and 10010012101202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010012107213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005006050606 + 5005006050607.

It is an arithmetic number, because the mean of its divisors is an integer number (5005006050607).

Almost surely, 210010012101213 is an apocalyptic number.

It is an amenable number.

10010012101213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010012101213 is an equidigital number, since it uses as much as digits as its factorization.

10010012101213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10010012101213 its reverse (31210121001001), we get a palindrome (41220133102214).

The spelling of 10010012101213 in words is "ten trillion, ten billion, twelve million, one hundred one thousand, two hundred thirteen".