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131100033301 is a prime number
BaseRepresentation
bin111101000011000101…
…0111100000100010101
3110112101120211201121221
41322012022330010111
54121443102031201
6140120532410341
712320531616346
oct1720612740425
9415346751557
10131100033301
1150665607466
12214a91769b1
13c493a67703
1464b96160cd
1536247044a1
hex1e862bc115

131100033301 has 2 divisors, whose sum is σ = 131100033302. Its totient is φ = 131100033300.

The previous prime is 131100033293. The next prime is 131100033341. The reversal of 131100033301 is 103330001131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130356380401 + 743652900 = 361049^2 + 27270^2 .

It is a cyclic number.

It is not a de Polignac number, because 131100033301 - 23 = 131100033293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131100033341) 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, 65550016650 + 65550016651.

It is an arithmetic number, because the mean of its divisors is an integer number (65550016651).

Almost surely, 2131100033301 is an apocalyptic number.

It is an amenable number.

131100033301 is a deficient number, since it is larger than the sum of its proper divisors (1).

131100033301 is an equidigital number, since it uses as much as digits as its factorization.

131100033301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 131100033301 its reverse (103330001131), we get a palindrome (234430034432).

The spelling of 131100033301 in words is "one hundred thirty-one billion, one hundred million, thirty-three thousand, three hundred one".