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131322332221033 is a prime number
BaseRepresentation
bin11101110110111111011100…
…111101101000111001101001
3122012222021220010101010001111
4131312333130331220321221
5114203041114022033113
61143144351354350321
736442503546140242
oct3566773475507151
9565867803333044
10131322332221033
1138930540a77638
121288b19342b3a1
1358378482a12a5
14246006b687cc9
15102aeddd7313d
hex776fdcf68e69

131322332221033 has 2 divisors, whose sum is σ = 131322332221034. Its totient is φ = 131322332221032.

The previous prime is 131322332221019. The next prime is 131322332221133. The reversal of 131322332221033 is 330122233223131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127560489655824 + 3761842565209 = 11294268^2 + 1939547^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131322332221033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131322332220986 and 131322332221004.

It is not a weakly prime, because it can be changed into another prime (131322332221133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65661166110516 + 65661166110517.

It is an arithmetic number, because the mean of its divisors is an integer number (65661166110517).

Almost surely, 2131322332221033 is an apocalyptic number.

It is an amenable number.

131322332221033 is a deficient number, since it is larger than the sum of its proper divisors (1).

131322332221033 is an equidigital number, since it uses as much as digits as its factorization.

131322332221033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 131322332221033 its reverse (330122233223131), we get a palindrome (461444565444164).

The spelling of 131322332221033 in words is "one hundred thirty-one trillion, three hundred twenty-two billion, three hundred thirty-two million, two hundred twenty-one thousand, thirty-three".