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13300123214141 is a prime number
BaseRepresentation
bin1100000110001010110100…
…0111101010000100111101
31202002110221110021111001022
43001202231013222010331
53220402123020323031
644141554154353525
72541621311002661
oct301425507520475
952073843244038
1013300123214141
114268606903665
1215a97a042b8a5
13756272197baa
1433da2d67c8a1
15180e77a8397b
hexc18ad1ea13d

13300123214141 has 2 divisors, whose sum is σ = 13300123214142. Its totient is φ = 13300123214140.

The previous prime is 13300123214099. The next prime is 13300123214197. The reversal of 13300123214141 is 14141232100331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12327444014116 + 972679200025 = 3511046^2 + 986245^2 .

It is a cyclic number.

It is not a de Polignac number, because 13300123214141 - 238 = 13025245307197 is a prime.

It is a super-2 number, since 2×133001232141412 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13300123214141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13300123234141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650061607070 + 6650061607071.

It is an arithmetic number, because the mean of its divisors is an integer number (6650061607071).

Almost surely, 213300123214141 is an apocalyptic number.

It is an amenable number.

13300123214141 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300123214141 is an equidigital number, since it uses as much as digits as its factorization.

13300123214141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 13300123214141 its reverse (14141232100331), we get a palindrome (27441355314472).

The spelling of 13300123214141 in words is "thirteen trillion, three hundred billion, one hundred twenty-three million, two hundred fourteen thousand, one hundred forty-one".