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1213311013 is a prime number
BaseRepresentation
bin100100001010001…
…1010100000100101
310010120001120210221
41020110122200211
54441101423023
6320221244341
742031654615
oct11024324045
93116046727
101213311013
11572978582
1229a4036b1
131644a5115
14b71d6a45
15717b985d
hex4851a825

1213311013 has 2 divisors, whose sum is σ = 1213311014. Its totient is φ = 1213311012.

The previous prime is 1213310963. The next prime is 1213311037. The reversal of 1213311013 is 3101133121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1007618049 + 205692964 = 31743^2 + 14342^2 .

It is a cyclic number.

It is not a de Polignac number, because 1213311013 - 213 = 1213302821 is a prime.

It is a super-2 number, since 2×12133110132 = 2944247228534172338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1213311053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 606655506 + 606655507.

It is an arithmetic number, because the mean of its divisors is an integer number (606655507).

Almost surely, 21213311013 is an apocalyptic number.

It is an amenable number.

1213311013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1213311013 is an equidigital number, since it uses as much as digits as its factorization.

1213311013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1213311013 is about 34832.6142142676. The cubic root of 1213311013 is about 1066.5733137811.

Adding to 1213311013 its reverse (3101133121), we get a palindrome (4314444134).

The spelling of 1213311013 in words is "one billion, two hundred thirteen million, three hundred eleven thousand, thirteen".