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13395567313 is a prime number
BaseRepresentation
bin11000111100111000…
…00010001011010001
31021120120010022210201
430132130002023101
5204413231123223
610053121255201
7652645305052
oct143634021321
937516108721
1013395567313
1157544a2a97
12271a194501
1313563207bb
149110d8729
1553603bead
hex31e7022d1

13395567313 has 2 divisors, whose sum is σ = 13395567314. Its totient is φ = 13395567312.

The previous prime is 13395567307. The next prime is 13395567463. The reversal of 13395567313 is 31376559331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9831119104 + 3564448209 = 99152^2 + 59703^2 .

It is a cyclic number.

It is not a de Polignac number, because 13395567313 - 29 = 13395566801 is a prime.

It is a super-2 number, since 2×133955673132 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13395561313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6697783656 + 6697783657.

It is an arithmetic number, because the mean of its divisors is an integer number (6697783657).

Almost surely, 213395567313 is an apocalyptic number.

It is an amenable number.

13395567313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13395567313 is an equidigital number, since it uses as much as digits as its factorization.

13395567313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 765450, while the sum is 46.

The spelling of 13395567313 in words is "thirteen billion, three hundred ninety-five million, five hundred sixty-seven thousand, three hundred thirteen".