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310131101130313 is a prime number
BaseRepresentation
bin100011010000100000000011…
…0000111011101111001001001
31111200002020120200002022010111
41012201000012013131321021
5311122141443342132223
63015332132213314321
7122216142540303241
oct10641000607357111
91450066520068114
10310131101130313
118a8a995253a121
122a94959a3359a1
13104083115c0158
1456825d5384b21
1525cc34d12130d
hex11a10061dde49

310131101130313 has 2 divisors, whose sum is σ = 310131101130314. Its totient is φ = 310131101130312.

The previous prime is 310131101130293. The next prime is 310131101130317. The reversal of 310131101130313 is 313031101131013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 279585052315209 + 30546048815104 = 16720797^2 + 5526848^2 .

It is an emirp because it is prime and its reverse (313031101131013) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-310131101130313 is a prime.

It is not a weakly prime, because it can be changed into another prime (310131101130317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155065550565156 + 155065550565157.

It is an arithmetic number, because the mean of its divisors is an integer number (155065550565157).

Almost surely, 2310131101130313 is an apocalyptic number.

It is an amenable number.

310131101130313 is a deficient number, since it is larger than the sum of its proper divisors (1).

310131101130313 is an equidigital number, since it uses as much as digits as its factorization.

310131101130313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 310131101130313 its reverse (313031101131013), we get a palindrome (623162202261326).

The spelling of 310131101130313 in words is "three hundred ten trillion, one hundred thirty-one billion, one hundred one million, one hundred thirty thousand, three hundred thirteen".