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1213413013 is a prime number
BaseRepresentation
bin100100001010011…
…0011011010010101
310010120020202201201
41020110303122111
54441113204023
6320223352501
742032561161
oct11024633225
93116222651
101213413013
11572a3817a
1229a452731
1316450c687
14b7221ca1
15717d9bad
hex48533695

1213413013 has 2 divisors, whose sum is σ = 1213413014. Its totient is φ = 1213413012.

The previous prime is 1213413011. The next prime is 1213413023. The reversal of 1213413013 is 3103143121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1178342929 + 35070084 = 34327^2 + 5922^2 .

It is a cyclic number.

It is not a de Polignac number, because 1213413013 - 21 = 1213413011 is a prime.

It is a super-2 number, since 2×12134130132 = 2944742280235476338, which contains 22 as substring.

Together with 1213413011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1213413011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 606706506 + 606706507.

It is an arithmetic number, because the mean of its divisors is an integer number (606706507).

Almost surely, 21213413013 is an apocalyptic number.

It is an amenable number.

1213413013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1213413013 is an equidigital number, since it uses as much as digits as its factorization.

1213413013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1213413013 is about 34834.0783285564. The cubic root of 1213413013 is about 1066.6032009874.

Adding to 1213413013 its reverse (3103143121), we get a palindrome (4316556134).

The spelling of 1213413013 in words is "one billion, two hundred thirteen million, four hundred thirteen thousand, thirteen".