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131033232329 is a prime number
BaseRepresentation
bin111101000001000110…
…0000111001111001001
3110112012221010212220212
41322002030013033021
54121324001413304
6140110144530505
712316061045336
oct1720214071711
9415187125825
10131033232329
115063093094a
122148a920a35
13c482c78ccc
1464b07c798d
15361d90b66e
hex1e823073c9

131033232329 has 2 divisors, whose sum is σ = 131033232330. Its totient is φ = 131033232328.

The previous prime is 131033232289. The next prime is 131033232331. The reversal of 131033232329 is 923232330131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96750858304 + 34282374025 = 311048^2 + 185155^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131033232329 is a prime.

Together with 131033232331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 131033232295 and 131033232304.

It is not a weakly prime, because it can be changed into another prime (131033232929) 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, 65516616164 + 65516616165.

It is an arithmetic number, because the mean of its divisors is an integer number (65516616165).

Almost surely, 2131033232329 is an apocalyptic number.

It is an amenable number.

131033232329 is a deficient number, since it is larger than the sum of its proper divisors (1).

131033232329 is an equidigital number, since it uses as much as digits as its factorization.

131033232329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 32.

The spelling of 131033232329 in words is "one hundred thirty-one billion, thirty-three million, two hundred thirty-two thousand, three hundred twenty-nine".