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133100011201 is a prime number
BaseRepresentation
bin111101111110101100…
…0001111111011000001
3110201112222011010112111
41323331120033323001
54140042100324301
6141051215055321
712421225266613
oct1737530177301
9421488133474
10133100011201
11514a1539463
1221966b11541
13c7222049a1
1466290a6db3
1536e00b0551
hex1efd60fec1

133100011201 has 2 divisors, whose sum is σ = 133100011202. Its totient is φ = 133100011200.

The previous prime is 133100011189. The next prime is 133100011223. The reversal of 133100011201 is 102110001331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121170129025 + 11929882176 = 348095^2 + 109224^2 .

It is a cyclic number.

It is not a de Polignac number, because 133100011201 - 213 = 133100003009 is a prime.

It is a super-2 number, since 2×1331000112012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (133100017201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66550005600 + 66550005601.

It is an arithmetic number, because the mean of its divisors is an integer number (66550005601).

Almost surely, 2133100011201 is an apocalyptic number.

It is an amenable number.

133100011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

133100011201 is an equidigital number, since it uses as much as digits as its factorization.

133100011201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 133100011201 its reverse (102110001331), we get a palindrome (235210012532).

The spelling of 133100011201 in words is "one hundred thirty-three billion, one hundred million, eleven thousand, two hundred one".