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131330033129 is a prime number
BaseRepresentation
bin111101001001111100…
…0010100010111101001
3110112222121121221002002
41322103320110113221
54122430442030004
6140155430220345
712326323601651
oct1722370242751
9415877557062
10131330033129
115077341a769
12215521b46b5
13c4cc5c6899
1464dbda7361
1536399d761e
hex1e93e145e9

131330033129 has 2 divisors, whose sum is σ = 131330033130. Its totient is φ = 131330033128.

The previous prime is 131330033119. The next prime is 131330033137. The reversal of 131330033129 is 921330033131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108470105104 + 22859928025 = 329348^2 + 151195^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131330033129 is a prime.

It is not a weakly prime, because it can be changed into another prime (131330033119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65665016564 + 65665016565.

It is an arithmetic number, because the mean of its divisors is an integer number (65665016565).

Almost surely, 2131330033129 is an apocalyptic number.

It is an amenable number.

131330033129 is a deficient number, since it is larger than the sum of its proper divisors (1).

131330033129 is an equidigital number, since it uses as much as digits as its factorization.

131330033129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 29.

The spelling of 131330033129 in words is "one hundred thirty-one billion, three hundred thirty million, thirty-three thousand, one hundred twenty-nine".