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131021012033 is a prime number
BaseRepresentation
bin111101000000101110…
…1011111110001000001
3110112012002011000211022
41322001131133301001
54121312334341113
6140105030555225
712315552140552
oct1720135376101
9415162130738
10131021012033
1150624a4462a
1221486808b15
13c48058a972
1464acd26329
15361c7e5908
hex1e8175fc41

131021012033 has 2 divisors, whose sum is σ = 131021012034. Its totient is φ = 131021012032.

The previous prime is 131021012027. The next prime is 131021012093. The reversal of 131021012033 is 330210120131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72249676849 + 58771335184 = 268793^2 + 242428^2 .

It is a cyclic number.

It is not a de Polignac number, because 131021012033 - 28 = 131021011777 is a prime.

It is not a weakly prime, because it can be changed into another prime (131021012093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65510506016 + 65510506017.

It is an arithmetic number, because the mean of its divisors is an integer number (65510506017).

Almost surely, 2131021012033 is an apocalyptic number.

It is an amenable number.

131021012033 is a deficient number, since it is larger than the sum of its proper divisors (1).

131021012033 is an equidigital number, since it uses as much as digits as its factorization.

131021012033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 131021012033 its reverse (330210120131), we get a palindrome (461231132164).

The spelling of 131021012033 in words is "one hundred thirty-one billion, twenty-one million, twelve thousand, thirty-three".