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10101133019 is a prime number
BaseRepresentation
bin10010110100001001…
…10000111011011011
3222001222001201112202
421122010300323123
5131141342224034
64350154200415
7505213133255
oct113204607333
928058051482
1010101133019
11431390a81a
121b5aa2310b
13c4c9398b3
146bb76acd5
153e1bd847e
hex25a130edb

10101133019 has 2 divisors, whose sum is σ = 10101133020. Its totient is φ = 10101133018.

The previous prime is 10101132991. The next prime is 10101133033. The reversal of 10101133019 is 91033110101.

10101133019 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10101133019 is a prime.

It is a super-3 number, since 3×101011330193 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10101133079) 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, 5050566509 + 5050566510.

It is an arithmetic number, because the mean of its divisors is an integer number (5050566510).

Almost surely, 210101133019 is an apocalyptic number.

10101133019 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101133019 is an equidigital number, since it uses as much as digits as its factorization.

10101133019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 20.

The spelling of 10101133019 in words is "ten billion, one hundred one million, one hundred thirty-three thousand, nineteen".