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131330302012033 is a prime number
BaseRepresentation
bin11101110111000110110111…
…111111111110101010000001
3122020000001110112221102222221
4131313012313333332222001
5114203203424303341113
61143152150254531041
736443205212221435
oct3567066777765201
9566001415842887
10131330302012033
1138933960791573
1212890838506a81
135838518498257
1424605c5d2a9c5
15102b3088a298d
hex7771b7ffea81

131330302012033 has 2 divisors, whose sum is σ = 131330302012034. Its totient is φ = 131330302012032.

The previous prime is 131330302011977. The next prime is 131330302012109. The reversal of 131330302012033 is 330210203033131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128928939577344 + 2401362434689 = 11354688^2 + 1549633^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131330302012033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131330302011989 and 131330302012007.

It is not a weakly prime, because it can be changed into another prime (131330302012933) 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, 65665151006016 + 65665151006017.

It is an arithmetic number, because the mean of its divisors is an integer number (65665151006017).

Almost surely, 2131330302012033 is an apocalyptic number.

It is an amenable number.

131330302012033 is a deficient number, since it is larger than the sum of its proper divisors (1).

131330302012033 is an equidigital number, since it uses as much as digits as its factorization.

131330302012033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 131330302012033 its reverse (330210203033131), we get a palindrome (461540505045164).

The spelling of 131330302012033 in words is "one hundred thirty-one trillion, three hundred thirty billion, three hundred two million, twelve thousand, thirty-three".