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133311000101 is a prime number
BaseRepresentation
bin111110000100111110…
…1000110111000100101
3110202002200011110220012
41330021331012320211
54141010104000401
6141124153220005
712426366542606
oct1741175067045
9422080143805
10133311000101
115159a647554
1221a05701605
13c756b389a6
146649109dad
15370388a8bb
hex1f09f46e25

133311000101 has 2 divisors, whose sum is σ = 133311000102. Its totient is φ = 133311000100.

The previous prime is 133311000089. The next prime is 133311000139. The reversal of 133311000101 is 101000113331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122815202500 + 10495797601 = 350450^2 + 102449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133311000101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133311000161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66655500050 + 66655500051.

It is an arithmetic number, because the mean of its divisors is an integer number (66655500051).

Almost surely, 2133311000101 is an apocalyptic number.

It is an amenable number.

133311000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

133311000101 is an equidigital number, since it uses as much as digits as its factorization.

133311000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 133311000101 its reverse (101000113331), we get a palindrome (234311113432).

The spelling of 133311000101 in words is "one hundred thirty-three billion, three hundred eleven million, one hundred one", and thus it is an aban number.