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13121213317 is a prime number
BaseRepresentation
bin11000011100001010…
…11101001110000101
31020212102212200212121
430032011131032011
5203333012311232
610010001045541
7643104321142
oct141605351605
936772780777
1013121213317
115623645853
1226623268b1
131311531c64
148c68bd3c9
1551bde6d97
hex30e15d385

13121213317 has 2 divisors, whose sum is σ = 13121213318. Its totient is φ = 13121213316.

The previous prime is 13121213293. The next prime is 13121213323. The reversal of 13121213317 is 71331212131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12985514116 + 135699201 = 113954^2 + 11649^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121213317 - 223 = 13112824709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13121213291 and 13121213300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13121213327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560606658 + 6560606659.

It is an arithmetic number, because the mean of its divisors is an integer number (6560606659).

Almost surely, 213121213317 is an apocalyptic number.

It is an amenable number.

13121213317 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121213317 is an equidigital number, since it uses as much as digits as its factorization.

13121213317 is an evil number, because the sum of its binary digits is even.

The product of its digits is 756, while the sum is 25.

Adding to 13121213317 its reverse (71331212131), we get a palindrome (84452425448).

The spelling of 13121213317 in words is "thirteen billion, one hundred twenty-one million, two hundred thirteen thousand, three hundred seventeen".