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2013231313 is a prime number
BaseRepresentation
bin111011111111111…
…0111100011010001
312012022020202011201
41313333313203101
513110341400223
6531434311201
7100614120022
oct16777674321
95168222151
102013231313
11943464535
12482288501
1326112a942
14151540c49
15bbb27ead
hex77ff78d1

2013231313 has 2 divisors, whose sum is σ = 2013231314. Its totient is φ = 2013231312.

The previous prime is 2013231281. The next prime is 2013231361. The reversal of 2013231313 is 3131323102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1623445264 + 389786049 = 40292^2 + 19743^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013231313 - 25 = 2013231281 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013231113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006615656 + 1006615657.

It is an arithmetic number, because the mean of its divisors is an integer number (1006615657).

Almost surely, 22013231313 is an apocalyptic number.

It is an amenable number.

2013231313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013231313 is an equidigital number, since it uses as much as digits as its factorization.

2013231313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 2013231313 is about 44869.0462680008. The cubic root of 2013231313 is about 1262.6933469591.

Adding to 2013231313 its reverse (3131323102), we get a palindrome (5144554415).

The spelling of 2013231313 in words is "two billion, thirteen million, two hundred thirty-one thousand, three hundred thirteen".