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313312111313 is a prime number
BaseRepresentation
bin1001000111100101101…
…10110110101011010001
31002221201021000100102212
410203302312312223101
520113130400030223
6355533353521505
731431111001445
oct4436266665321
91087637010385
10313312111313
11110969578593
125087b713295
1323711a7bc56
1411243114825
15823b213278
hex48f2db6ad1

313312111313 has 2 divisors, whose sum is σ = 313312111314. Its totient is φ = 313312111312.

The previous prime is 313312111283. The next prime is 313312111319. The reversal of 313312111313 is 313111213313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 292370548369 + 20941562944 = 540713^2 + 144712^2 .

It is a cyclic number.

It is not a de Polignac number, because 313312111313 - 26 = 313312111249 is a prime.

It is not a weakly prime, because it can be changed into another prime (313312111319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156656055656 + 156656055657.

It is an arithmetic number, because the mean of its divisors is an integer number (156656055657).

Almost surely, 2313312111313 is an apocalyptic number.

It is an amenable number.

313312111313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313312111313 is an equidigital number, since it uses as much as digits as its factorization.

313312111313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486, while the sum is 23.

Adding to 313312111313 its reverse (313111213313), we get a palindrome (626423324626).

The spelling of 313312111313 in words is "three hundred thirteen billion, three hundred twelve million, one hundred eleven thousand, three hundred thirteen".