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33310132133 is a prime number
BaseRepresentation
bin11111000001011100…
…000100011110100101
310011222102220001000112
4133001130010132211
51021204343212013
623145155422405
72256312310565
oct370134043645
9104872801015
1033310132133
1113143779323
1265575b4a05
1331ab0b4175
14187dd00da5
15cee52dba8
hex7c17047a5

33310132133 has 2 divisors, whose sum is σ = 33310132134. Its totient is φ = 33310132132.

The previous prime is 33310132103. The next prime is 33310132151. The reversal of 33310132133 is 33123101333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17644605889 + 15665526244 = 132833^2 + 125162^2 .

It is a cyclic number.

It is not a de Polignac number, because 33310132133 - 212 = 33310128037 is a prime.

It is a super-2 number, since 2×333101321332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33310132099 and 33310132108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33310132103) 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, 16655066066 + 16655066067.

It is an arithmetic number, because the mean of its divisors is an integer number (16655066067).

Almost surely, 233310132133 is an apocalyptic number.

It is an amenable number.

33310132133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33310132133 is an equidigital number, since it uses as much as digits as its factorization.

33310132133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 33310132133 its reverse (33123101333), we get a palindrome (66433233466).

The spelling of 33310132133 in words is "thirty-three billion, three hundred ten million, one hundred thirty-two thousand, one hundred thirty-three".