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135313685681 is a prime number
BaseRepresentation
bin111111000000101010…
…0101111110010110001
3110221021020120110001012
41332001110233302301
54204110300420211
6142055013520305
712530125231226
oct1760124576261
9427236513035
10135313685681
11524280588a9
1222284343095
13c9b5a13545
1467990a394d
1537be5cdd8b
hex1f8152fcb1

135313685681 has 2 divisors, whose sum is σ = 135313685682. Its totient is φ = 135313685680.

The previous prime is 135313685671. The next prime is 135313685713. The reversal of 135313685681 is 186586313531.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116281000000 + 19032685681 = 341000^2 + 137959^2 .

It is an emirp because it is prime and its reverse (186586313531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135313685681 - 210 = 135313684657 is a prime.

It is a super-2 number, since 2×1353136856812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (135313685671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67656842840 + 67656842841.

It is an arithmetic number, because the mean of its divisors is an integer number (67656842841).

Almost surely, 2135313685681 is an apocalyptic number.

It is an amenable number.

135313685681 is a deficient number, since it is larger than the sum of its proper divisors (1).

135313685681 is an equidigital number, since it uses as much as digits as its factorization.

135313685681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1555200, while the sum is 50.

The spelling of 135313685681 in words is "one hundred thirty-five billion, three hundred thirteen million, six hundred eighty-five thousand, six hundred eighty-one".