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131300302033 is a prime number
BaseRepresentation
bin111101001001000011…
…0111001110011010001
3110112220112200102200101
41322102012321303101
54122400334131113
6140152445052401
712325513103245
oct1722206716321
9415815612611
10131300302033
115075866330a
1221544257101
13c4c63b7114
1464d8068425
1536370b32dd
hex1e921b9cd1

131300302033 has 2 divisors, whose sum is σ = 131300302034. Its totient is φ = 131300302032.

The previous prime is 131300302019. The next prime is 131300302037. The reversal of 131300302033 is 330203003131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127329789889 + 3970512144 = 356833^2 + 63012^2 .

It is an emirp because it is prime and its reverse (330203003131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131300302033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131300302033.

It is not a weakly prime, because it can be changed into another prime (131300302037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65650151016 + 65650151017.

It is an arithmetic number, because the mean of its divisors is an integer number (65650151017).

Almost surely, 2131300302033 is an apocalyptic number.

It is an amenable number.

131300302033 is a deficient number, since it is larger than the sum of its proper divisors (1).

131300302033 is an equidigital number, since it uses as much as digits as its factorization.

131300302033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 131300302033 its reverse (330203003131), we get a palindrome (461503305164).

The spelling of 131300302033 in words is "one hundred thirty-one billion, three hundred million, three hundred two thousand, thirty-three".