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13133020049 is a prime number
BaseRepresentation
bin11000011101100100…
…11111101110010001
31020220021002112122222
430032302133232101
5203344023120144
610011102110425
7643306554122
oct141662375621
936807075588
1013133020049
11562a27a386
12266627b415
131313b06ca6
148c82b4049
1551ce7a2ee
hex30ec9fb91

13133020049 has 2 divisors, whose sum is σ = 13133020050. Its totient is φ = 13133020048.

The previous prime is 13133020009. The next prime is 13133020057. The reversal of 13133020049 is 94002033131.

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., 8352680449 + 4780339600 = 91393^2 + 69140^2 .

It is an emirp because it is prime and its reverse (94002033131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13133020049 - 224 = 13116242833 is a prime.

It is not a weakly prime, because it can be changed into another prime (13133020009) 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, 6566510024 + 6566510025.

It is an arithmetic number, because the mean of its divisors is an integer number (6566510025).

Almost surely, 213133020049 is an apocalyptic number.

It is an amenable number.

13133020049 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133020049 is an equidigital number, since it uses as much as digits as its factorization.

13133020049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 13133020049 in words is "thirteen billion, one hundred thirty-three million, twenty thousand, forty-nine".