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13300302131113 is a prime number
BaseRepresentation
bin1100000110001011011111…
…0010001010111110101001
31202002111101220221101222211
43001202313302022332221
53220403004321143423
644142024025245121
72541625612530544
oct301426762127651
952074356841884
1013300302131113
1142686988a6628
1215a98303337a1
137562a027cb1a
1433da4933385b
15180e8862610d
hexc18b7c8afa9

13300302131113 has 2 divisors, whose sum is σ = 13300302131114. Its totient is φ = 13300302131112.

The previous prime is 13300302131107. The next prime is 13300302131167. The reversal of 13300302131113 is 31113120300331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7224037691049 + 6076264440064 = 2687757^2 + 2465008^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13300302131113 is a prime.

It is not a weakly prime, because it can be changed into another prime (13300302131713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650151065556 + 6650151065557.

It is an arithmetic number, because the mean of its divisors is an integer number (6650151065557).

Almost surely, 213300302131113 is an apocalyptic number.

It is an amenable number.

13300302131113 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300302131113 is an equidigital number, since it uses as much as digits as its factorization.

13300302131113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 13300302131113 its reverse (31113120300331), we get a palindrome (44413422431444).

The spelling of 13300302131113 in words is "thirteen trillion, three hundred billion, three hundred two million, one hundred thirty-one thousand, one hundred thirteen".