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10101133213 is a prime number
BaseRepresentation
bin10010110100001001…
…10000111110011101
3222001222001201210221
421122010300332131
5131141342230323
64350154201341
7505213133653
oct113204607635
928058051727
1010101133213
11431390a986
121b5aa23251
13c4c939a02
146bb76add3
153e1bd855d
hex25a130f9d

10101133213 has 2 divisors, whose sum is σ = 10101133214. Its totient is φ = 10101133212.

The previous prime is 10101133201. The next prime is 10101133243. The reversal of 10101133213 is 31233110101.

10101133213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8577167769 + 1523965444 = 92613^2 + 39038^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101133213 - 221 = 10099036061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101133243) 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, 5050566606 + 5050566607.

It is an arithmetic number, because the mean of its divisors is an integer number (5050566607).

Almost surely, 210101133213 is an apocalyptic number.

It is an amenable number.

10101133213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101133213 is an equidigital number, since it uses as much as digits as its factorization.

10101133213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10101133213 its reverse (31233110101), we get a palindrome (41334243314).

The spelling of 10101133213 in words is "ten billion, one hundred one million, one hundred thirty-three thousand, two hundred thirteen".