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1329138414061 is a prime number
BaseRepresentation
bin10011010101110110110…
…100101011000111101101
311201001201221102020212221
4103111312310223013231
5133234033413222221
62454333040555341
7165012201053023
oct23256664530755
94631657366787
101329138414061
11472758a90a27
12195719922b51
139844cb25873
144848b3d6713
15248920ae541
hex13576d2b1ed

1329138414061 has 2 divisors, whose sum is σ = 1329138414062. Its totient is φ = 1329138414060.

The previous prime is 1329138414007. The next prime is 1329138414089. The reversal of 1329138414061 is 1604148319231.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1218186801225 + 110951612836 = 1103715^2 + 333094^2 .

It is a cyclic number.

It is not a de Polignac number, because 1329138414061 - 29 = 1329138413549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1329138413999 and 1329138414017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1329138414001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 664569207030 + 664569207031.

It is an arithmetic number, because the mean of its divisors is an integer number (664569207031).

Almost surely, 21329138414061 is an apocalyptic number.

It is an amenable number.

1329138414061 is a deficient number, since it is larger than the sum of its proper divisors (1).

1329138414061 is an equidigital number, since it uses as much as digits as its factorization.

1329138414061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 1329138414061 in words is "one trillion, three hundred twenty-nine billion, one hundred thirty-eight million, four hundred fourteen thousand, sixty-one".