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13101310203029 is a prime number
BaseRepresentation
bin1011111010100110001011…
…1100001101010010010101
31201101110202211112002012022
42332221202330031102111
53204122440402444104
643510354145502525
72521352452203656
oct276514274152225
951343684462168
1013101310203029
1141a1264071814
121577156341a45
137405a9a65c09
1433416d0a152d
1517abdd929bbe
hexbea62f0d495

13101310203029 has 2 divisors, whose sum is σ = 13101310203030. Its totient is φ = 13101310203028.

The previous prime is 13101310203019. The next prime is 13101310203053. The reversal of 13101310203029 is 92030201310131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12243889762129 + 857420440900 = 3499127^2 + 925970^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101310203029 - 228 = 13101041767573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13101310202989 and 13101310203007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13101310203019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550655101514 + 6550655101515.

It is an arithmetic number, because the mean of its divisors is an integer number (6550655101515).

Almost surely, 213101310203029 is an apocalyptic number.

It is an amenable number.

13101310203029 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101310203029 is an equidigital number, since it uses as much as digits as its factorization.

13101310203029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 13101310203029 in words is "thirteen trillion, one hundred one billion, three hundred ten million, two hundred three thousand, twenty-nine".