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1133313133 is a prime number
BaseRepresentation
bin100001110001100…
…1111110001101101
32220222112021100111
41003203033301231
54310112010013
6304242500021
740041000631
oct10343176155
92828467314
101133313133
115317a8a27
12277664611
13150a459b4
14aa730dc1
156976673d
hex438cfc6d

1133313133 has 2 divisors, whose sum is σ = 1133313134. Its totient is φ = 1133313132.

The previous prime is 1133313131. The next prime is 1133313149. The reversal of 1133313133 is 3313133311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 717275524 + 416037609 = 26782^2 + 20397^2 .

It is an emirp because it is prime and its reverse (3313133311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1133313133 - 21 = 1133313131 is a prime.

Together with 1133313131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1133313131) 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, 566656566 + 566656567.

It is an arithmetic number, because the mean of its divisors is an integer number (566656567).

Almost surely, 21133313133 is an apocalyptic number.

It is an amenable number.

1133313133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1133313133 is an equidigital number, since it uses as much as digits as its factorization.

1133313133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 729, while the sum is 22.

The square root of 1133313133 is about 33664.7164402138. The cubic root of 1133313133 is about 1042.5974070278.

Adding to 1133313133 its reverse (3313133311), we get a palindrome (4446446444).

The spelling of 1133313133 in words is "one billion, one hundred thirty-three million, three hundred thirteen thousand, one hundred thirty-three".