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13413001097 is a prime number
BaseRepresentation
bin11000111110111101…
…00010011110001001
31021121202221001110102
430133132202132021
5204432212013342
610054543055145
7653246425316
oct143736423611
937552831412
1013413001097
115763320281
122723ba14b5
131359b15b52
14913555d0d
15537832832
hex31f7a2789

13413001097 has 2 divisors, whose sum is σ = 13413001098. Its totient is φ = 13413001096.

The previous prime is 13413001081. The next prime is 13413001159. The reversal of 13413001097 is 79010031431.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12674031241 + 738969856 = 112579^2 + 27184^2 .

It is a cyclic number.

It is not a de Polignac number, because 13413001097 - 24 = 13413001081 is a prime.

It is not a weakly prime, because it can be changed into another prime (13413001027) 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, 6706500548 + 6706500549.

It is an arithmetic number, because the mean of its divisors is an integer number (6706500549).

Almost surely, 213413001097 is an apocalyptic number.

It is an amenable number.

13413001097 is a deficient number, since it is larger than the sum of its proper divisors (1).

13413001097 is an equidigital number, since it uses as much as digits as its factorization.

13413001097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 29.

The spelling of 13413001097 in words is "thirteen billion, four hundred thirteen million, one thousand, ninety-seven".