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1213110013 is a prime number
BaseRepresentation
bin100100001001110…
…1001011011111101
310010112200101002111
41020103221123331
54441024010023
6320213054021
742030156613
oct11023513375
93115611074
101213110013
11572850565
1229a327311
1316443479b
14b71836b3
157177a00d
hex484e96fd

1213110013 has 2 divisors, whose sum is σ = 1213110014. Its totient is φ = 1213110012.

The previous prime is 1213109993. The next prime is 1213110053. The reversal of 1213110013 is 3100113121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1181503129 + 31606884 = 34373^2 + 5622^2 .

It is a cyclic number.

It is not a de Polignac number, because 1213110013 - 213 = 1213101821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1213109975 and 1213110002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1213110053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 606555006 + 606555007.

It is an arithmetic number, because the mean of its divisors is an integer number (606555007).

Almost surely, 21213110013 is an apocalyptic number.

It is an amenable number.

1213110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1213110013 is an equidigital number, since it uses as much as digits as its factorization.

1213110013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1213110013 is about 34829.7288677360. The cubic root of 1213110013 is about 1066.5144135010.

Adding to 1213110013 its reverse (3100113121), we get a palindrome (4313223134).

The spelling of 1213110013 in words is "one billion, two hundred thirteen million, one hundred ten thousand, thirteen".