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10043131313 is a prime number
BaseRepresentation
bin10010101101001111…
…00000010110110001
3221220220220221011102
421112213200112301
5131032020200223
64340323054145
7503610131135
oct112647402661
927826827142
1010043131313
1142940a4226
121b43511355
13c4090c367
146b3b8d3c5
153dba7c928
hex2569e05b1

10043131313 has 2 divisors, whose sum is σ = 10043131314. Its totient is φ = 10043131312.

The previous prime is 10043131303. The next prime is 10043131333. The reversal of 10043131313 is 31313134001.

It is an a-pointer prime, because the next prime (10043131333) can be obtained adding 10043131313 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9744256369 + 298874944 = 98713^2 + 17288^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10043131313 is a prime.

It is a super-2 number, since 2×100431313132 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10043131303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5021565656 + 5021565657.

It is an arithmetic number, because the mean of its divisors is an integer number (5021565657).

Almost surely, 210043131313 is an apocalyptic number.

It is an amenable number.

10043131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10043131313 is an equidigital number, since it uses as much as digits as its factorization.

10043131313 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 20.

Adding to 10043131313 its reverse (31313134001), we get a palindrome (41356265314).

The spelling of 10043131313 in words is "ten billion, forty-three million, one hundred thirty-one thousand, three hundred thirteen".