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2013013 is a prime number
BaseRepresentation
bin111101011011101010101
310210021100001
413223131111
51003404023
6111051301
723052562
oct7533525
93707301
102013013
111155452
12810b31
13556342
143a5869
1529b6ad
hex1eb755

2013013 has 2 divisors, whose sum is σ = 2013014. Its totient is φ = 2013012.

The previous prime is 2013001. The next prime is 2013019. The reversal of 2013013 is 3103102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1580049 + 432964 = 1257^2 + 658^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2013013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006506 + 1006507.

It is an arithmetic number, because the mean of its divisors is an integer number (1006507).

22013013 is an apocalyptic number.

It is an amenable number.

2013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013013 is an equidigital number, since it uses as much as digits as its factorization.

2013013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2013013 is about 1418.8068931324. The cubic root of 2013013 is about 126.2647703531.

Adding to 2013013 its reverse (3103102), we get a palindrome (5116115).

The spelling of 2013013 in words is "two million, thirteen thousand, thirteen".