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1133312113217 is a prime number
BaseRepresentation
bin10000011111011110101…
…010100111101001000001
311000100021110200110021202
4100133132222213221001
5122032010400110332
62224345243430545
7144610350006104
oct20373652475101
94010243613252
101133312113217
113a76a9162779
12163787b25455
1382b4240407b
143cbd176273b
151e730271a62
hex107deaa7a41

1133312113217 has 2 divisors, whose sum is σ = 1133312113218. Its totient is φ = 1133312113216.

The previous prime is 1133312113177. The next prime is 1133312113231. The reversal of 1133312113217 is 7123112133311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 854655874576 + 278656238641 = 924476^2 + 527879^2 .

It is a cyclic number.

It is not a de Polignac number, because 1133312113217 - 228 = 1133043677761 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1133312113217.

It is not a weakly prime, because it can be changed into another prime (1133312113267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 566656056608 + 566656056609.

It is an arithmetic number, because the mean of its divisors is an integer number (566656056609).

Almost surely, 21133312113217 is an apocalyptic number.

It is an amenable number.

1133312113217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1133312113217 is an equidigital number, since it uses as much as digits as its factorization.

1133312113217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 29.

Adding to 1133312113217 its reverse (7123112133311), we get a palindrome (8256424246528).

The spelling of 1133312113217 in words is "one trillion, one hundred thirty-three billion, three hundred twelve million, one hundred thirteen thousand, two hundred seventeen".