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2013420137 is a prime number
BaseRepresentation
bin111100000000010…
…0101101001101001
312012022121100012012
41320000211221221
513110413421022
6531442325305
7100615534361
oct17000455151
95168540165
102013420137
11943583393
12482359835
13261195881
1415158d9a1
15bbb63de2
hex78025a69

2013420137 has 2 divisors, whose sum is σ = 2013420138. Its totient is φ = 2013420136.

The previous prime is 2013420133. The next prime is 2013420187. The reversal of 2013420137 is 7310243102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1314135001 + 699285136 = 36251^2 + 26444^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013420137 - 22 = 2013420133 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013420133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006710068 + 1006710069.

It is an arithmetic number, because the mean of its divisors is an integer number (1006710069).

Almost surely, 22013420137 is an apocalyptic number.

It is an amenable number.

2013420137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013420137 is an equidigital number, since it uses as much as digits as its factorization.

2013420137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 2013420137 is about 44871.1503864120. The cubic root of 2013420137 is about 1262.7328223625.

Adding to 2013420137 its reverse (7310243102), we get a palindrome (9323663239).

The spelling of 2013420137 in words is "two billion, thirteen million, four hundred twenty thousand, one hundred thirty-seven".