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133011001213 is a prime number
BaseRepresentation
bin111101111100000010…
…0101100111101111101
3110201022202122221210021
41323320010230331331
54134401304014323
6141034315212141
712416064566356
oct1737004547575
9421282587707
10133011001213
1151456273992
1221941147051
13c70993b55c
14661b336d2d
1536d737c05d
hex1ef812cf7d

133011001213 has 2 divisors, whose sum is σ = 133011001214. Its totient is φ = 133011001212.

The previous prime is 133011001199. The next prime is 133011001217. The reversal of 133011001213 is 312100110331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89101056004 + 43909945209 = 298498^2 + 209547^2 .

It is a cyclic number.

It is not a de Polignac number, because 133011001213 - 229 = 132474130301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133011001217) 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, 66505500606 + 66505500607.

It is an arithmetic number, because the mean of its divisors is an integer number (66505500607).

Almost surely, 2133011001213 is an apocalyptic number.

It is an amenable number.

133011001213 is a deficient number, since it is larger than the sum of its proper divisors (1).

133011001213 is an equidigital number, since it uses as much as digits as its factorization.

133011001213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 133011001213 its reverse (312100110331), we get a palindrome (445111111544).

The spelling of 133011001213 in words is "one hundred thirty-three billion, eleven million, one thousand, two hundred thirteen".