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1313563450181 is a prime number
BaseRepresentation
bin10011000111010110011…
…110111001101101000101
311122120112111101010000212
4103013112132321231011
5133010134220401211
62443235343245205
7163621220050043
oct23072636715505
94576474333025
101313563450181
11467096361054
121926b18a9805
1396b3a1386c8
1447810aa5393
152427ea7538b
hex131d67b9b45

1313563450181 has 2 divisors, whose sum is σ = 1313563450182. Its totient is φ = 1313563450180.

The previous prime is 1313563450021. The next prime is 1313563450193. The reversal of 1313563450181 is 1810543653131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 689082612100 + 624480838081 = 830110^2 + 790241^2 .

It is an emirp because it is prime and its reverse (1810543653131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1313563450181 is a prime.

It is a super-3 number, since 3×13135634501813 (a number of 37 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 (1313563450481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656781725090 + 656781725091.

It is an arithmetic number, because the mean of its divisors is an integer number (656781725091).

Almost surely, 21313563450181 is an apocalyptic number.

It is an amenable number.

1313563450181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313563450181 is an equidigital number, since it uses as much as digits as its factorization.

1313563450181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 41.

The spelling of 1313563450181 in words is "one trillion, three hundred thirteen billion, five hundred sixty-three million, four hundred fifty thousand, one hundred eighty-one".