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131133204330301 is a prime number
BaseRepresentation
bin11101110100001111010100…
…000011111111011100111101
3122012022012201110212210200201
4131310033110003333130331
5114141441300302032201
61142521432403323501
736423030022451635
oct3564172403773475
9565265643783621
10131133204330301
1138868309233008
121285a5b0980591
135822a6754c084
142454c494a56c5
151026120129801
hex7743d40ff73d

131133204330301 has 2 divisors, whose sum is σ = 131133204330302. Its totient is φ = 131133204330300.

The previous prime is 131133204330241. The next prime is 131133204330313. The reversal of 131133204330301 is 103033402331131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81327029422500 + 49806174907801 = 9018150^2 + 7057349^2 .

It is a cyclic number.

It is not a de Polignac number, because 131133204330301 - 29 = 131133204329789 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131133204330301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131133204330371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65566602165150 + 65566602165151.

It is an arithmetic number, because the mean of its divisors is an integer number (65566602165151).

Almost surely, 2131133204330301 is an apocalyptic number.

It is an amenable number.

131133204330301 is a deficient number, since it is larger than the sum of its proper divisors (1).

131133204330301 is an equidigital number, since it uses as much as digits as its factorization.

131133204330301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 131133204330301 its reverse (103033402331131), we get a palindrome (234166606661432).

The spelling of 131133204330301 in words is "one hundred thirty-one trillion, one hundred thirty-three billion, two hundred four million, three hundred thirty thousand, three hundred one".