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1000005000013 is a prime number
BaseRepresentation
bin11101000110101001111…
…00010101101101001101
310112121012001211110012201
432203110330111231031
5112341002240000023
62043221305401501
7132151025152225
oct16432474255515
93477161743181
101000005000013
11356110830538
12141983799291
13733b9329626
1436586d89085
151b02be02bad
hexe8d4f15b4d

1000005000013 has 2 divisors, whose sum is σ = 1000005000014. Its totient is φ = 1000005000012.

The previous prime is 1000004999989. The next prime is 1000005000077. The reversal of 1000005000013 is 3100005000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 869942347849 + 130062652164 = 932707^2 + 360642^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000005000013 - 221 = 1000002902861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000005000713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500002500006 + 500002500007.

It is an arithmetic number, because the mean of its divisors is an integer number (500002500007).

Almost surely, 21000005000013 is an apocalyptic number.

It is an amenable number.

1000005000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000005000013 is an equidigital number, since it uses as much as digits as its factorization.

1000005000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15, while the sum is 10.

The spelling of 1000005000013 in words is "one trillion, five million, thirteen", and thus it is an aban number and an uban number.