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11101332313 is a prime number
BaseRepresentation
bin10100101011011000…
…01110001101011001
31001122200010010001001
422111230032031121
5140213420113223
65033324025001
7542046524221
oct122554161531
931580103031
1011101332313
11478745a305
122199992161
13107bc166b6
1477452b081
1544e9089ad
hex295b0e359

11101332313 has 2 divisors, whose sum is σ = 11101332314. Its totient is φ = 11101332312.

The previous prime is 11101332301. The next prime is 11101332371. The reversal of 11101332313 is 31323310111.

11101332313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8523536329 + 2577795984 = 92323^2 + 50772^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101332313 - 213 = 11101324121 is a prime.

It is not a weakly prime, because it can be changed into another prime (11101335313) 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, 5550666156 + 5550666157.

It is an arithmetic number, because the mean of its divisors is an integer number (5550666157).

Almost surely, 211101332313 is an apocalyptic number.

It is an amenable number.

11101332313 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101332313 is an equidigital number, since it uses as much as digits as its factorization.

11101332313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 11101332313 its reverse (31323310111), we get a palindrome (42424642424).

The spelling of 11101332313 in words is "eleven billion, one hundred one million, three hundred thirty-two thousand, three hundred thirteen".