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33011132113 is a prime number
BaseRepresentation
bin11110101111100111…
…011110011011010001
310011012121021021002201
4132233213132123101
51020101322211423
623055355043201
72246021664451
oct365747363321
9104177237081
1033011132113
1112aaaa18173
126493440501
13316117658b
14185230bd61
15cd316b2ad
hex7af9de6d1

33011132113 has 2 divisors, whose sum is σ = 33011132114. Its totient is φ = 33011132112.

The previous prime is 33011132087. The next prime is 33011132131. The reversal of 33011132113 is 31123111033.

Together with next prime (33011132131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27931434129 + 5079697984 = 167127^2 + 71272^2 .

It is a cyclic number.

It is not a de Polignac number, because 33011132113 - 25 = 33011132081 is a prime.

It is not a weakly prime, because it can be changed into another prime (33011132173) 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, 16505566056 + 16505566057.

It is an arithmetic number, because the mean of its divisors is an integer number (16505566057).

Almost surely, 233011132113 is an apocalyptic number.

It is an amenable number.

33011132113 is a deficient number, since it is larger than the sum of its proper divisors (1).

33011132113 is an equidigital number, since it uses as much as digits as its factorization.

33011132113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 33011132113 its reverse (31123111033), we get a palindrome (64134243146).

The spelling of 33011132113 in words is "thirty-three billion, eleven million, one hundred thirty-two thousand, one hundred thirteen".