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13001203217 is a prime number
BaseRepresentation
bin11000001101110111…
…01001111000010001
31020120002001112222002
430012323221320101
5203111302000332
65550032523345
7640116255362
oct140673517021
936502045862
1013001203217
115571927452
12262a0b0555
1312c2703572
148b499db69
155115dd562
hex306ee9e11

13001203217 has 2 divisors, whose sum is σ = 13001203218. Its totient is φ = 13001203216.

The previous prime is 13001203211. The next prime is 13001203223. The reversal of 13001203217 is 71230210031.

13001203217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (13001203211) and next prime (13001203223).

It can be written as a sum of positive squares in only one way, i.e., 9009996241 + 3991206976 = 94921^2 + 63176^2 .

It is a cyclic number.

It is not a de Polignac number, because 13001203217 - 28 = 13001202961 is a prime.

It is a super-2 number, since 2×130012032172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13001203211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500601608 + 6500601609.

It is an arithmetic number, because the mean of its divisors is an integer number (6500601609).

Almost surely, 213001203217 is an apocalyptic number.

It is an amenable number.

13001203217 is a deficient number, since it is larger than the sum of its proper divisors (1).

13001203217 is an equidigital number, since it uses as much as digits as its factorization.

13001203217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 20.

Adding to 13001203217 its reverse (71230210031), we get a palindrome (84231413248).

The spelling of 13001203217 in words is "thirteen billion, one million, two hundred three thousand, two hundred seventeen".