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133310332013 is a prime number
BaseRepresentation
bin111110000100111101…
…0100011110001101101
3110202002121220112110012
41330021322203301231
54141004421111023
6141124131023005
712426361061045
oct1741172436155
9422077815405
10133310332013
115159a230611
1221a0543aa65
13c756963881
146648db4725
1537037a7978
hex1f09ea3c6d

133310332013 has 2 divisors, whose sum is σ = 133310332014. Its totient is φ = 133310332012.

The previous prime is 133310331989. The next prime is 133310332049. The reversal of 133310332013 is 310233013331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131028072484 + 2282259529 = 361978^2 + 47773^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133310332013 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 133310332013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133310332093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66655166006 + 66655166007.

It is an arithmetic number, because the mean of its divisors is an integer number (66655166007).

Almost surely, 2133310332013 is an apocalyptic number.

It is an amenable number.

133310332013 is a deficient number, since it is larger than the sum of its proper divisors (1).

133310332013 is an equidigital number, since it uses as much as digits as its factorization.

133310332013 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 133310332013 its reverse (310233013331), we get a palindrome (443543345344).

The spelling of 133310332013 in words is "one hundred thirty-three billion, three hundred ten million, three hundred thirty-two thousand, thirteen".