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1311300541413 = 3416188895573
BaseRepresentation
bin10011000101001111100…
…110100101101111100101
311122100200210022102210000
4103011033212211233211
5132441020414311123
62442223025251513
7163511151460302
oct23051746455745
94570623272700
101311300541413
11466134a74215
1219217ba93b99
139686937c135
14476783300a9
152419b07db43
hex1314f9a5be5

1311300541413 has 10 divisors (see below), whose sum is σ = 1958856364454. Its totient is φ = 874200360888.

The previous prime is 1311300541403. The next prime is 1311300541423. The reversal of 1311300541413 is 3141450031131.

1311300541413 is a `hidden beast` number, since 1 + 3 + 113 + 0 + 0 + 541 + 4 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (1311300541403) and next prime (1311300541423).

It can be written as a sum of positive squares in only one way, i.e., 843666131169 + 467634410244 = 918513^2 + 683838^2 .

It is not a de Polignac number, because 1311300541413 - 212 = 1311300537317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311300541403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8094447706 + ... + 8094447867.

Almost surely, 21311300541413 is an apocalyptic number.

It is an amenable number.

1311300541413 is a deficient number, since it is larger than the sum of its proper divisors (647555823041).

1311300541413 is an equidigital number, since it uses as much as digits as its factorization.

1311300541413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16188895585 (or 16188895576 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 1311300541413 its reverse (3141450031131), we get a palindrome (4452750572544).

The spelling of 1311300541413 in words is "one trillion, three hundred eleven billion, three hundred million, five hundred forty-one thousand, four hundred thirteen".

Divisors: 1 3 9 27 81 16188895573 48566686719 145700060157 437100180471 1311300541413