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10101303313 is a prime number
BaseRepresentation
bin10010110100001010…
…11010100000010001
3222001222101101010221
421122011122200101
5131141413201223
64350201553041
7505214442613
oct113205324021
928058341127
1010101303313
114313a16762
121b5aaa5781
13c4c99926a
146bb7b2db3
153e1c1db5d
hex25a15a811

10101303313 has 2 divisors, whose sum is σ = 10101303314. Its totient is φ = 10101303312.

The previous prime is 10101303301. The next prime is 10101303341. The reversal of 10101303313 is 31330310101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8905319424 + 1195983889 = 94368^2 + 34583^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10101303313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101303353) 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, 5050651656 + 5050651657.

It is an arithmetic number, because the mean of its divisors is an integer number (5050651657).

Almost surely, 210101303313 is an apocalyptic number.

It is an amenable number.

10101303313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101303313 is an equidigital number, since it uses as much as digits as its factorization.

10101303313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10101303313 its reverse (31330310101), we get a palindrome (41431613414).

The spelling of 10101303313 in words is "ten billion, one hundred one million, three hundred three thousand, three hundred thirteen".