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13104338431001 is a prime number
BaseRepresentation
bin1011111010110001011101…
…1011111110110000011001
31201101202120212200000000212
42332230113123332300121
53204200141114243001
643512014443140505
72521520502544646
oct276542733766031
951352525600025
1013104338431001
1141a2578462264
121577860514735
1374097025199c
14334379334dcd
1517ad196e77bb
hexbeb176fec19

13104338431001 has 2 divisors, whose sum is σ = 13104338431002. Its totient is φ = 13104338431000.

The previous prime is 13104338430991. The next prime is 13104338431031. The reversal of 13104338431001 is 10013483340131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9098976635401 + 4005361795600 = 3016451^2 + 2001340^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13104338431001 is a prime.

It is not a weakly prime, because it can be changed into another prime (13104338431031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6552169215500 + 6552169215501.

It is an arithmetic number, because the mean of its divisors is an integer number (6552169215501).

Almost surely, 213104338431001 is an apocalyptic number.

It is an amenable number.

13104338431001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13104338431001 is an equidigital number, since it uses as much as digits as its factorization.

13104338431001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 13104338431001 in words is "thirteen trillion, one hundred four billion, three hundred thirty-eight million, four hundred thirty-one thousand, one".