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11331113101309 is a prime number
BaseRepresentation
bin1010010011100011101011…
…1110001010011111111101
31111010020120202101000101001
42210320322332022133331
52441122104423220214
640033235210250301
72246434355125111
oct244707276123775
944106522330331
1011331113101309
113679552a42781
121330066a26991
1364269a104a81
142b26008b1741
15149b35564c74
hexa4e3af8a7fd

11331113101309 has 2 divisors, whose sum is σ = 11331113101310. Its totient is φ = 11331113101308.

The previous prime is 11331113101199. The next prime is 11331113101393. The reversal of 11331113101309 is 90310131113311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8763997764025 + 2567115337284 = 2960405^2 + 1602222^2 .

It is a cyclic number.

It is not a de Polignac number, because 11331113101309 - 223 = 11331104712701 is a prime.

It is a super-2 number, since 2×113311131013092 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11331113101109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5665556550654 + 5665556550655.

It is an arithmetic number, because the mean of its divisors is an integer number (5665556550655).

Almost surely, 211331113101309 is an apocalyptic number.

It is an amenable number.

11331113101309 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331113101309 is an equidigital number, since it uses as much as digits as its factorization.

11331113101309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 28.

The spelling of 11331113101309 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirteen million, one hundred one thousand, three hundred nine".