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13013213177 is a prime number
BaseRepresentation
bin11000001111010010…
…11101111111111001
31020120220122201112102
430013221131333321
5203122340310202
65551142153145
7640323326006
oct140751357771
936526581472
1013013213177
11557868a738
1226321227b5
1312c5049c53
148b64088ad
155126b1d02
hex307a5dff9

13013213177 has 2 divisors, whose sum is σ = 13013213178. Its totient is φ = 13013213176.

The previous prime is 13013213167. The next prime is 13013213179. The reversal of 13013213177 is 77131231031.

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., 12647026681 + 366186496 = 112459^2 + 19136^2 .

It is an emirp because it is prime and its reverse (77131231031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13013213177 - 26 = 13013213113 is a prime.

Together with 13013213179, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13013213179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506606588 + 6506606589.

It is an arithmetic number, because the mean of its divisors is an integer number (6506606589).

Almost surely, 213013213177 is an apocalyptic number.

It is an amenable number.

13013213177 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013213177 is an equidigital number, since it uses as much as digits as its factorization.

13013213177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2646, while the sum is 29.

The spelling of 13013213177 in words is "thirteen billion, thirteen million, two hundred thirteen thousand, one hundred seventy-seven".