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1012221100313 is a prime number
BaseRepresentation
bin11101011101011010001…
…01000100000100011001
310120202201102120122102222
432232231011010010121
5113041012100202223
62053001415033425
7133062532251053
oct16565505040431
93522642518388
101012221100313
1136030a4714a5
1214421296b875
13745b5194847
1436dc557a8d3
151b4e460d0c8
hexebad144119

1012221100313 has 2 divisors, whose sum is σ = 1012221100314. Its totient is φ = 1012221100312.

The previous prime is 1012221100309. The next prime is 1012221100343. The reversal of 1012221100313 is 3130011222101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 984308047129 + 27913053184 = 992123^2 + 167072^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012221100313 - 22 = 1012221100309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012221100291 and 1012221100300.

It is not a weakly prime, because it can be changed into another prime (1012221100343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506110550156 + 506110550157.

It is an arithmetic number, because the mean of its divisors is an integer number (506110550157).

Almost surely, 21012221100313 is an apocalyptic number.

It is an amenable number.

1012221100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012221100313 is an equidigital number, since it uses as much as digits as its factorization.

1012221100313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1012221100313 its reverse (3130011222101), we get a palindrome (4142232322414).

The spelling of 1012221100313 in words is "one trillion, twelve billion, two hundred twenty-one million, one hundred thousand, three hundred thirteen".