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13000302321137 is a prime number
BaseRepresentation
bin1011110100101101111001…
…1001101101110111110001
31201000211001102101000220122
42331023132121231313301
53200444104343234022
643352131220220025
72511145416316205
oct275133631556761
951024042330818
1013000302321137
11416244081a07a
12155b666b3a615
13733c004b9871
1432d30a240b05
1517827aea3742
hexbd2de66ddf1

13000302321137 has 2 divisors, whose sum is σ = 13000302321138. Its totient is φ = 13000302321136.

The previous prime is 13000302321119. The next prime is 13000302321229. The reversal of 13000302321137 is 73112320300031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12921695544976 + 78606776161 = 3594676^2 + 280369^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000302321137 - 222 = 13000298126833 is a prime.

It is not a weakly prime, because it can be changed into another prime (13000302321037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500151160568 + 6500151160569.

It is an arithmetic number, because the mean of its divisors is an integer number (6500151160569).

Almost surely, 213000302321137 is an apocalyptic number.

It is an amenable number.

13000302321137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000302321137 is an equidigital number, since it uses as much as digits as its factorization.

13000302321137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 26.

Adding to 13000302321137 its reverse (73112320300031), we get a palindrome (86112622621168).

The spelling of 13000302321137 in words is "thirteen trillion, three hundred two million, three hundred twenty-one thousand, one hundred thirty-seven".