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13033123373 is a prime number
BaseRepresentation
bin11000010001101010…
…11010111000101101
31020122022010021012002
430020311122320231
5203142434421443
65553133022045
7640654502144
oct141065327055
936568107162
1013033123373
115588949546
122638924925
1312c91cb52a
148b8d0c75b
155142e62b8
hex308d5ae2d

13033123373 has 2 divisors, whose sum is σ = 13033123374. Its totient is φ = 13033123372.

The previous prime is 13033123361. The next prime is 13033123379. The reversal of 13033123373 is 37332133031.

It is a happy number.

13033123373 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12523176649 + 509946724 = 111907^2 + 22582^2 .

It is an emirp because it is prime and its reverse (37332133031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13033123373 - 212 = 13033119277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13033123379) 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, 6516561686 + 6516561687.

It is an arithmetic number, because the mean of its divisors is an integer number (6516561687).

Almost surely, 213033123373 is an apocalyptic number.

It is an amenable number.

13033123373 is a deficient number, since it is larger than the sum of its proper divisors (1).

13033123373 is an equidigital number, since it uses as much as digits as its factorization.

13033123373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 29.

The spelling of 13033123373 in words is "thirteen billion, thirty-three million, one hundred twenty-three thousand, three hundred seventy-three".