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10061106313 is a prime number
BaseRepresentation
bin10010101111011000…
…00100110010001001
3221222011202011020011
421113230010302021
5131101120400223
64342204231521
7504215664316
oct112754046211
927864664204
1010061106313
1142a32610a5
121b4953b5a1
13c44563b5b
146b630bd0d
153dd42d80d
hex257b04c89

10061106313 has 2 divisors, whose sum is σ = 10061106314. Its totient is φ = 10061106312.

The previous prime is 10061106301. The next prime is 10061106323. The reversal of 10061106313 is 31360116001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7014397504 + 3046708809 = 83752^2 + 55197^2 .

It is an emirp because it is prime and its reverse (31360116001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10061106313 - 221 = 10059009161 is a prime.

It is not a weakly prime, because it can be changed into another prime (10061106323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5030553156 + 5030553157.

It is an arithmetic number, because the mean of its divisors is an integer number (5030553157).

Almost surely, 210061106313 is an apocalyptic number.

It is an amenable number.

10061106313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10061106313 is an equidigital number, since it uses as much as digits as its factorization.

10061106313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

The spelling of 10061106313 in words is "ten billion, sixty-one million, one hundred six thousand, three hundred thirteen".