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1304013133 is a prime number
BaseRepresentation
bin100110110111001…
…1010100101001101
310100212201201201201
41031232122211031
510132311410013
6333221305501
744212633363
oct11556324515
93325651651
101304013133
1160a099405
12304865291
1317a211807
14c5287633
15797343dd
hex4db9a94d

1304013133 has 2 divisors, whose sum is σ = 1304013134. Its totient is φ = 1304013132.

The previous prime is 1304013131. The next prime is 1304013157. The reversal of 1304013133 is 3313104031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1032851044 + 271162089 = 32138^2 + 16467^2 .

It is a cyclic number.

It is not a de Polignac number, because 1304013133 - 21 = 1304013131 is a prime.

Together with 1304013131, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1304013133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1304013131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652006566 + 652006567.

It is an arithmetic number, because the mean of its divisors is an integer number (652006567).

Almost surely, 21304013133 is an apocalyptic number.

It is an amenable number.

1304013133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1304013133 is an equidigital number, since it uses as much as digits as its factorization.

1304013133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1304013133 is about 36111.1220124770. The cubic root of 1304013133 is about 1092.5147819200.

Adding to 1304013133 its reverse (3313104031), we get a palindrome (4617117164).

The spelling of 1304013133 in words is "one billion, three hundred four million, thirteen thousand, one hundred thirty-three".