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13576132813 is a prime number
BaseRepresentation
bin11001010010011001…
…10101100011001101
31022001010220000002211
430221030311203031
5210300442222223
610123051350421
7660300140065
oct145114654315
938033800084
1013576132813
115837411581
12276a752411
131384861ba9
1492b09c3a5
15546d07d0d
hex3293358cd

13576132813 has 2 divisors, whose sum is σ = 13576132814. Its totient is φ = 13576132812.

The previous prime is 13576132729. The next prime is 13576132841. The reversal of 13576132813 is 31823167531.

It is a happy number.

13576132813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12463043044 + 1113089769 = 111638^2 + 33363^2 .

It is a cyclic number.

It is not a de Polignac number, because 13576132813 - 213 = 13576124621 is a prime.

It is a super-2 number, since 2×135761328132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13576138813) 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, 6788066406 + 6788066407.

It is an arithmetic number, because the mean of its divisors is an integer number (6788066407).

Almost surely, 213576132813 is an apocalyptic number.

It is an amenable number.

13576132813 is a deficient number, since it is larger than the sum of its proper divisors (1).

13576132813 is an equidigital number, since it uses as much as digits as its factorization.

13576132813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 90720, while the sum is 40.

The spelling of 13576132813 in words is "thirteen billion, five hundred seventy-six million, one hundred thirty-two thousand, eight hundred thirteen".