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13013119993 is a prime number
BaseRepresentation
bin11000001111010010…
…00111001111111001
31020120220110222201011
430013221013033321
5203122324314433
65551140153521
7640322460226
oct140751071771
936526428634
1013013119993
115578626725
1226320988a1
1312c5016703
148b63c294d
155126943cd
hex307a473f9

13013119993 has 2 divisors, whose sum is σ = 13013119994. Its totient is φ = 13013119992.

The previous prime is 13013119979. The next prime is 13013119997. The reversal of 13013119993 is 39991131031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12411742464 + 601377529 = 111408^2 + 24523^2 .

It is a cyclic number.

It is not a de Polignac number, because 13013119993 - 25 = 13013119961 is a prime.

It is not a weakly prime, because it can be changed into another prime (13013119997) 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, 6506559996 + 6506559997.

It is an arithmetic number, because the mean of its divisors is an integer number (6506559997).

Almost surely, 213013119993 is an apocalyptic number.

It is an amenable number.

13013119993 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013119993 is an equidigital number, since it uses as much as digits as its factorization.

13013119993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19683, while the sum is 40.

The spelling of 13013119993 in words is "thirteen billion, thirteen million, one hundred nineteen thousand, nine hundred ninety-three".