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13133112277 is a prime number
BaseRepresentation
bin11000011101100101…
…10110001111010101
31020220021021020011211
430032302312033111
5203344034043102
610011104101421
7643310420035
oct141662661725
936807236154
1013133112277
11562a3326aa
122666304871
131313b39c6c
148c82d98c5
1551ce977d7
hex30ecb63d5

13133112277 has 2 divisors, whose sum is σ = 13133112278. Its totient is φ = 13133112276.

The previous prime is 13133112259. The next prime is 13133112281. The reversal of 13133112277 is 77221133131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13132930801 + 181476 = 114599^2 + 426^2 .

It is a cyclic number.

It is not a de Polignac number, because 13133112277 - 223 = 13124723669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13133112877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566556138 + 6566556139.

It is an arithmetic number, because the mean of its divisors is an integer number (6566556139).

Almost surely, 213133112277 is an apocalyptic number.

It is an amenable number.

13133112277 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133112277 is an equidigital number, since it uses as much as digits as its factorization.

13133112277 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5292, while the sum is 31.

The spelling of 13133112277 in words is "thirteen billion, one hundred thirty-three million, one hundred twelve thousand, two hundred seventy-seven".