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1331111120309 is a prime number
BaseRepresentation
bin10011010111101100011…
…001111100110110110101
311201020211102102010010022
4103113230121330312311
5133302103421322214
62455300510534525
7165112113560135
oct23275431746665
94636742363108
101331111120309
11473580586373
12195b8a507445
13986a5734979
14485d73c8ac5
152495a37ed8e
hex135ec67cdb5

1331111120309 has 2 divisors, whose sum is σ = 1331111120310. Its totient is φ = 1331111120308.

The previous prime is 1331111120299. The next prime is 1331111120341. The reversal of 1331111120309 is 9030211111331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1171055115409 + 160056004900 = 1082153^2 + 400070^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331111120309 - 240 = 231599492533 is a prime.

It is a super-2 number, since 2×13311111203092 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1331111120389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665555560154 + 665555560155.

It is an arithmetic number, because the mean of its divisors is an integer number (665555560155).

Almost surely, 21331111120309 is an apocalyptic number.

It is an amenable number.

1331111120309 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331111120309 is an equidigital number, since it uses as much as digits as its factorization.

1331111120309 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 26.

The spelling of 1331111120309 in words is "one trillion, three hundred thirty-one billion, one hundred eleven million, one hundred twenty thousand, three hundred nine".