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130137113 is a prime number
BaseRepresentation
bin1111100000110…
…11110000011001
3100001212122120002
413300123300121
5231303341423
620525142345
73140101331
oct760336031
9301778502
10130137113
1167505a37
12376ba9b5
1320c66012
14133d80c1
15b659228
hex7c1bc19

130137113 has 2 divisors, whose sum is σ = 130137114. Its totient is φ = 130137112.

The previous prime is 130137109. The next prime is 130137131. The reversal of 130137113 is 311731031.

Together with next prime (130137131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129663769 + 473344 = 11387^2 + 688^2 .

It is a cyclic number.

It is not a de Polignac number, because 130137113 - 22 = 130137109 is a prime.

It is not a weakly prime, because it can be changed into another prime (130137613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65068556 + 65068557.

It is an arithmetic number, because the mean of its divisors is an integer number (65068557).

Almost surely, 2130137113 is an apocalyptic number.

It is an amenable number.

130137113 is a deficient number, since it is larger than the sum of its proper divisors (1).

130137113 is an equidigital number, since it uses as much as digits as its factorization.

130137113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 130137113 is about 11407.7654691881. The cubic root of 130137113 is about 506.7577384672.

Adding to 130137113 its reverse (311731031), we get a palindrome (441868144).

The spelling of 130137113 in words is "one hundred thirty million, one hundred thirty-seven thousand, one hundred thirteen".