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12301001101313 is a prime number
BaseRepresentation
bin1011001100000000110011…
…0011010001000000000001
31121112222000220202100100222
42303000030303101000001
53103014422240220223
642055000224152425
72406501163113521
oct263001463210001
947488026670328
1012301001101313
113a12909487361
121468024468715
136b2c96a52a22
1430752ba77681
15164e9d42c0c8
hexb300ccd1001

12301001101313 has 2 divisors, whose sum is σ = 12301001101314. Its totient is φ = 12301001101312.

The previous prime is 12301001101303. The next prime is 12301001101327. The reversal of 12301001101313 is 31310110010321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11793235120384 + 507765980929 = 3434128^2 + 712577^2 .

It is a cyclic number.

It is not a de Polignac number, because 12301001101313 - 238 = 12026123194369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12301001101291 and 12301001101300.

It is not a weakly prime, because it can be changed into another prime (12301001101303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6150500550656 + 6150500550657.

It is an arithmetic number, because the mean of its divisors is an integer number (6150500550657).

Almost surely, 212301001101313 is an apocalyptic number.

It is an amenable number.

12301001101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12301001101313 is an equidigital number, since it uses as much as digits as its factorization.

12301001101313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 12301001101313 its reverse (31310110010321), we get a palindrome (43611111111634).

The spelling of 12301001101313 in words is "twelve trillion, three hundred one billion, one million, one hundred one thousand, three hundred thirteen".