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13354040591329 is a prime number
BaseRepresentation
bin1100001001010011101011…
…0110001000001111100001
31202021122010001100000221011
43002110322312020033201
53222243033342410304
644222432255100521
72545540401103324
oct302247266101741
952248101300834
1013354040591329
114289464858119
1215b8129211741
1375b3856bb189
143424a63767bb
151825812ccc04
hexc253ad883e1

13354040591329 has 2 divisors, whose sum is σ = 13354040591330. Its totient is φ = 13354040591328.

The previous prime is 13354040591273. The next prime is 13354040591341. The reversal of 13354040591329 is 92319504045331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13280776718400 + 73263872929 = 3644280^2 + 270673^2 .

It is a cyclic number.

It is not a de Polignac number, because 13354040591329 - 225 = 13354007036897 is a prime.

It is a super-2 number, since 2×133540405913292 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13354040591929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6677020295664 + 6677020295665.

It is an arithmetic number, because the mean of its divisors is an integer number (6677020295665).

Almost surely, 213354040591329 is an apocalyptic number.

It is an amenable number.

13354040591329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13354040591329 is an equidigital number, since it uses as much as digits as its factorization.

13354040591329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1749600, while the sum is 49.

The spelling of 13354040591329 in words is "thirteen trillion, three hundred fifty-four billion, forty million, five hundred ninety-one thousand, three hundred twenty-nine".