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311300001207313 is a prime number
BaseRepresentation
bin100011011001000000010110…
…1111111011001010000010001
31111211012222201022210122000221
41012302000231333121100101
5311300314400302113223
63022025125110513041
7122366453142104656
oct10662005577312021
91454188638718027
10311300001207313
119020a65311a808
122aab8038665781
131049160598b151
1456c3001345c2d
1525ec962864b5d
hex11b202dfd9411

311300001207313 has 2 divisors, whose sum is σ = 311300001207314. Its totient is φ = 311300001207312.

The previous prime is 311300001207229. The next prime is 311300001207331. The reversal of 311300001207313 is 313702100003113.

Together with next prime (311300001207331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155844688185729 + 155455313021584 = 12483777^2 + 12468172^2 .

It is a cyclic number.

It is not a de Polignac number, because 311300001207313 - 241 = 309100977951761 is a prime.

It is not a weakly prime, because it can be changed into another prime (311300001207413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155650000603656 + 155650000603657.

It is an arithmetic number, because the mean of its divisors is an integer number (155650000603657).

Almost surely, 2311300001207313 is an apocalyptic number.

It is an amenable number.

311300001207313 is a deficient number, since it is larger than the sum of its proper divisors (1).

311300001207313 is an equidigital number, since it uses as much as digits as its factorization.

311300001207313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 25.

The spelling of 311300001207313 in words is "three hundred eleven trillion, three hundred billion, one million, two hundred seven thousand, three hundred thirteen".