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133013213617 is a prime number
BaseRepresentation
bin111101111100000110…
…1001001000110110001
3110201022220211100122011
41323320031021012301
54134402340313432
6141034434442521
712416122442464
oct1737015110661
9421286740564
10133013213617
1151457545119
1221941a33441
13c70a23457b
14661b7512db
1536d7667847
hex1ef83491b1

133013213617 has 2 divisors, whose sum is σ = 133013213618. Its totient is φ = 133013213616.

The previous prime is 133013213609. The next prime is 133013213687. The reversal of 133013213617 is 716312310331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117728589456 + 15284624161 = 343116^2 + 123631^2 .

It is an emirp because it is prime and its reverse (716312310331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133013213617 - 23 = 133013213609 is a prime.

It is not a weakly prime, because it can be changed into another prime (133013213687) 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, 66506606808 + 66506606809.

It is an arithmetic number, because the mean of its divisors is an integer number (66506606809).

Almost surely, 2133013213617 is an apocalyptic number.

It is an amenable number.

133013213617 is a deficient number, since it is larger than the sum of its proper divisors (1).

133013213617 is an equidigital number, since it uses as much as digits as its factorization.

133013213617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 31.

Adding to 133013213617 its reverse (716312310331), we get a palindrome (849325523948).

The spelling of 133013213617 in words is "one hundred thirty-three billion, thirteen million, two hundred thirteen thousand, six hundred seventeen".