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130596013 is a prime number
BaseRepresentation
bin1111100100010…
…11110010101101
3100002201222001101
413302023302231
5231413033023
620543043101
73144022252
oct762136255
9302658041
10130596013
1167799799
12378a0491
1321096b62
14134b7429
15b6ea1ad
hex7c8bcad

130596013 has 2 divisors, whose sum is σ = 130596014. Its totient is φ = 130596012.

The previous prime is 130595999. The next prime is 130596041. The reversal of 130596013 is 310695031.

It is an a-pointer prime, because the next prime (130596041) can be obtained adding 130596013 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123721129 + 6874884 = 11123^2 + 2622^2 .

It is a cyclic number.

It is not a de Polignac number, because 130596013 - 25 = 130595981 is a prime.

It is a super-3 number, since 3×1305960133 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130596113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65298006 + 65298007.

It is an arithmetic number, because the mean of its divisors is an integer number (65298007).

Almost surely, 2130596013 is an apocalyptic number.

It is an amenable number.

130596013 is a deficient number, since it is larger than the sum of its proper divisors (1).

130596013 is an equidigital number, since it uses as much as digits as its factorization.

130596013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 130596013 is about 11427.8612609709. The cubic root of 130596013 is about 507.3526963753.

The spelling of 130596013 in words is "one hundred thirty million, five hundred ninety-six thousand, thirteen".