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33213213013 is a prime number
BaseRepresentation
bin11110111011101010…
…010110100101010101
310011201200112000222111
4132323222112211111
51021010040304023
623131414231021
72254024436551
oct367352264525
9104650460874
1033213213013
11130a3aa1582
12652b055471
133193caba86
1418710b2861
15ce5c8700d
hex7bba96955

33213213013 has 2 divisors, whose sum is σ = 33213213014. Its totient is φ = 33213213012.

The previous prime is 33213213001. The next prime is 33213213073. The reversal of 33213213013 is 31031231233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32970570084 + 242642929 = 181578^2 + 15577^2 .

It is an emirp because it is prime and its reverse (31031231233) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33213213013 is a prime.

It is a super-2 number, since 2×332132130132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33213213073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16606606506 + 16606606507.

It is an arithmetic number, because the mean of its divisors is an integer number (16606606507).

Almost surely, 233213213013 is an apocalyptic number.

It is an amenable number.

33213213013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33213213013 is an equidigital number, since it uses as much as digits as its factorization.

33213213013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 33213213013 its reverse (31031231233), we get a palindrome (64244444246).

The spelling of 33213213013 in words is "thirty-three billion, two hundred thirteen million, two hundred thirteen thousand, thirteen".