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13412123317 is a prime number
BaseRepresentation
bin11000111110110110…
…01100001010110101
31021121201021110101001
430133123030022311
5204432000421232
610054512203301
7653236111225
oct143733141265
937551243331
1013412123317
11576288083a
122723839531
131359899458
149133a8085
1553770c6e7
hex31f6cc2b5

13412123317 has 2 divisors, whose sum is σ = 13412123318. Its totient is φ = 13412123316.

The previous prime is 13412123311. The next prime is 13412123321. The reversal of 13412123317 is 71332121431.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11356951761 + 2055171556 = 106569^2 + 45334^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13412123317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13412123311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6706061658 + 6706061659.

It is an arithmetic number, because the mean of its divisors is an integer number (6706061659).

Almost surely, 213412123317 is an apocalyptic number.

It is an amenable number.

13412123317 is a deficient number, since it is larger than the sum of its proper divisors (1).

13412123317 is an equidigital number, since it uses as much as digits as its factorization.

13412123317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 28.

Adding to 13412123317 its reverse (71332121431), we get a palindrome (84744244748).

The spelling of 13412123317 in words is "thirteen billion, four hundred twelve million, one hundred twenty-three thousand, three hundred seventeen".