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132713608513 is a prime number
BaseRepresentation
bin111101110011001011…
…0001111010101000001
3110200120001001211200211
41323212112033111001
54133244140433023
6140545013114121
712405524026303
oct1734626172501
9420501054624
10132713608513
11513134103a2
1221879628941
13c690144445
1465cda41973
1536bb1d5a0d
hex1ee658f541

132713608513 has 2 divisors, whose sum is σ = 132713608514. Its totient is φ = 132713608512.

The previous prime is 132713608499. The next prime is 132713608519. The reversal of 132713608513 is 315806317231.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82109756304 + 50603852209 = 286548^2 + 224953^2 .

It is an emirp because it is prime and its reverse (315806317231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 132713608513 - 25 = 132713608481 is a prime.

It is a super-2 number, since 2×1327136085132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (132713608519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66356804256 + 66356804257.

It is an arithmetic number, because the mean of its divisors is an integer number (66356804257).

Almost surely, 2132713608513 is an apocalyptic number.

It is an amenable number.

132713608513 is a deficient number, since it is larger than the sum of its proper divisors (1).

132713608513 is an equidigital number, since it uses as much as digits as its factorization.

132713608513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 132713608513 in words is "one hundred thirty-two billion, seven hundred thirteen million, six hundred eight thousand, five hundred thirteen".