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133300132001 is a prime number
BaseRepresentation
bin111110000100101001…
…1101001100010100001
3110202001220201022122222
41330021103221202201
54140444313211001
6141123124240425
712426205266311
oct1741123514241
9422056638588
10133300132001
11515944a4153
1221a01b40115
13c754801c6a
1466478bb441
15370294061b
hex1f094e98a1

133300132001 has 2 divisors, whose sum is σ = 133300132002. Its totient is φ = 133300132000.

The previous prime is 133300131983. The next prime is 133300132013. The reversal of 133300132001 is 100231003331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72535416976 + 60764715025 = 269324^2 + 246505^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133300132001 is a prime.

It is not a weakly prime, because it can be changed into another prime (133300132051) 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, 66650066000 + 66650066001.

It is an arithmetic number, because the mean of its divisors is an integer number (66650066001).

Almost surely, 2133300132001 is an apocalyptic number.

It is an amenable number.

133300132001 is a deficient number, since it is larger than the sum of its proper divisors (1).

133300132001 is an equidigital number, since it uses as much as digits as its factorization.

133300132001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 133300132001 its reverse (100231003331), we get a palindrome (233531135332).

The spelling of 133300132001 in words is "one hundred thirty-three billion, three hundred million, one hundred thirty-two thousand, one".