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3013010000213 is a prime number
BaseRepresentation
bin101011110110000101011…
…001000000100101010101
3101200001002211212202121212
4223312011121000211111
5343331121030001323
610224054020551205
7430453124301623
oct53660531004525
911601084782555
103013010000213
11a618a0661474
12407b36b52505
1318b182cc3595
14a5b8ab06513
15535969bdb78
hex2bd85640955

3013010000213 has 2 divisors, whose sum is σ = 3013010000214. Its totient is φ = 3013010000212.

The previous prime is 3013010000207. The next prime is 3013010000219. The reversal of 3013010000213 is 3120000103103.

It is a balanced prime because it is at equal distance from previous prime (3013010000207) and next prime (3013010000219).

It can be written as a sum of positive squares in only one way, i.e., 1719017298769 + 1293992701444 = 1311113^2 + 1137538^2 .

It is a cyclic number.

It is not a de Polignac number, because 3013010000213 - 214 = 3013009983829 is a prime.

It is a super-2 number, since 2×30130100002132 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3013010000219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1506505000106 + 1506505000107.

It is an arithmetic number, because the mean of its divisors is an integer number (1506505000107).

Almost surely, 23013010000213 is an apocalyptic number.

It is an amenable number.

3013010000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

3013010000213 is an equidigital number, since it uses as much as digits as its factorization.

3013010000213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 3013010000213 its reverse (3120000103103), we get a palindrome (6133010103316).

The spelling of 3013010000213 in words is "three trillion, thirteen billion, ten million, two hundred thirteen", and thus it is an aban number.