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10132131209 is a prime number
BaseRepresentation
bin10010110111110110…
…00000110110001001
3222011010101121001212
421123323000312021
5131222311144314
64353222422505
7506040460064
oct113373006611
928133347055
1010132131209
11432a362162
121b69291a35
13c561a1015
146c19198db
153e47ace3e
hex25bec0d89

10132131209 has 2 divisors, whose sum is σ = 10132131210. Its totient is φ = 10132131208.

The previous prime is 10132131181. The next prime is 10132131227. The reversal of 10132131209 is 90213123101.

10132131209 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., 10036032400 + 96098809 = 100180^2 + 9803^2 .

It is a cyclic number.

It is not a de Polignac number, because 10132131209 - 212 = 10132127113 is a prime.

It is not a weakly prime, because it can be changed into another prime (10132139209) 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, 5066065604 + 5066065605.

It is an arithmetic number, because the mean of its divisors is an integer number (5066065605).

Almost surely, 210132131209 is an apocalyptic number.

It is an amenable number.

10132131209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10132131209 is an equidigital number, since it uses as much as digits as its factorization.

10132131209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 10132131209 in words is "ten billion, one hundred thirty-two million, one hundred thirty-one thousand, two hundred nine".