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312131324001317 is a prime number
BaseRepresentation
bin100011011111000011011110…
…0101100001011110000100101
31111221011110111122022011122012
41012332012330230023300211
5311402424422421020232
63023503052315244005
7122513513120213102
oct10676067454136045
91457143448264565
10312131324001317
1190500173174217
122b011184a49605
1310521b1c088952
14571134568baa9
1526143ba9749b2
hex11be1bcb0bc25

312131324001317 has 2 divisors, whose sum is σ = 312131324001318. Its totient is φ = 312131324001316.

The previous prime is 312131324001313. The next prime is 312131324001349. The reversal of 312131324001317 is 713100423131213.

It is an a-pointer prime, because the next prime (312131324001349) can be obtained adding 312131324001317 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 302510570194561 + 9620753806756 = 17392831^2 + 3101734^2 .

It is a cyclic number.

It is not a de Polignac number, because 312131324001317 - 22 = 312131324001313 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312131324001313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156065662000658 + 156065662000659.

It is an arithmetic number, because the mean of its divisors is an integer number (156065662000659).

Almost surely, 2312131324001317 is an apocalyptic number.

It is an amenable number.

312131324001317 is a deficient number, since it is larger than the sum of its proper divisors (1).

312131324001317 is an equidigital number, since it uses as much as digits as its factorization.

312131324001317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 32.

The spelling of 312131324001317 in words is "three hundred twelve trillion, one hundred thirty-one billion, three hundred twenty-four million, one thousand, three hundred seventeen".