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10133011321 is a prime number
BaseRepresentation
bin10010110111111100…
…10111101101111001
3222011012001022100121
421123332113231321
5131223022330241
64353253333241
7506051114026
oct113376275571
928135038317
1010133011321
11432a903424
121b69637221
13c5641b7b4
146c1aa854d
153e48d3ad1
hex25bf97b79

10133011321 has 2 divisors, whose sum is σ = 10133011322. Its totient is φ = 10133011320.

The previous prime is 10133011309. The next prime is 10133011333. The reversal of 10133011321 is 12311033101.

10133011321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10133011309) and next prime (10133011333).

It can be written as a sum of positive squares in only one way, i.e., 9792092025 + 340919296 = 98955^2 + 18464^2 .

It is a cyclic number.

It is not a de Polignac number, because 10133011321 - 25 = 10133011289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10133011295 and 10133011304.

It is not a weakly prime, because it can be changed into another prime (10133011351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066505660 + 5066505661.

It is an arithmetic number, because the mean of its divisors is an integer number (5066505661).

Almost surely, 210133011321 is an apocalyptic number.

It is an amenable number.

10133011321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133011321 is an equidigital number, since it uses as much as digits as its factorization.

10133011321 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 10133011321 its reverse (12311033101), we get a palindrome (22444044422).

The spelling of 10133011321 in words is "ten billion, one hundred thirty-three million, eleven thousand, three hundred twenty-one".