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13331413357 is a prime number
BaseRepresentation
bin11000110101001110…
…10011100101101101
31021102002101222010021
430122213103211231
5204300320211412
610042510242141
7651236100223
oct143247234555
937362358107
1013331413357
115721265199
1227007b6351
131345c4ab92
14906798b13
155305b8607
hex31a9d396d

13331413357 has 2 divisors, whose sum is σ = 13331413358. Its totient is φ = 13331413356.

The previous prime is 13331413301. The next prime is 13331413369. The reversal of 13331413357 is 75331413331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13309313956 + 22099401 = 115366^2 + 4701^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13331413357 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13331413457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665706678 + 6665706679.

It is an arithmetic number, because the mean of its divisors is an integer number (6665706679).

Almost surely, 213331413357 is an apocalyptic number.

It is an amenable number.

13331413357 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331413357 is an equidigital number, since it uses as much as digits as its factorization.

13331413357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34020, while the sum is 34.

Adding to 13331413357 its reverse (75331413331), we get a palindrome (88662826688).

It can be divided in two parts, 1333 and 1413357, that multiplied together give a palindrome (1884004881).

The spelling of 13331413357 in words is "thirteen billion, three hundred thirty-one million, four hundred thirteen thousand, three hundred fifty-seven".