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137327256013 is a prime number
BaseRepresentation
bin111111111100101010…
…1111010000111001101
3111010110120110102021011
41333321111322013031
54222221234143023
6143030503405221
712631045262533
oct1777125720715
9433416412234
10137327256013
1153270724012
1222746753811
13cc46c2c58c
14690a692153
15388b27250d
hex1ff957a1cd

137327256013 has 2 divisors, whose sum is σ = 137327256014. Its totient is φ = 137327256012.

The previous prime is 137327255981. The next prime is 137327256019. The reversal of 137327256013 is 310652723731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132177327844 + 5149928169 = 363562^2 + 71763^2 .

It is a cyclic number.

It is not a de Polignac number, because 137327256013 - 25 = 137327255981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137327256019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68663628006 + 68663628007.

It is an arithmetic number, because the mean of its divisors is an integer number (68663628007).

Almost surely, 2137327256013 is an apocalyptic number.

It is an amenable number.

137327256013 is a deficient number, since it is larger than the sum of its proper divisors (1).

137327256013 is an equidigital number, since it uses as much as digits as its factorization.

137327256013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 158760, while the sum is 40.

Adding to 137327256013 its reverse (310652723731), we get a palindrome (447979979744).

The spelling of 137327256013 in words is "one hundred thirty-seven billion, three hundred twenty-seven million, two hundred fifty-six thousand, thirteen".