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1001121133 is a prime number
BaseRepresentation
bin111011101010111…
…110010101101101
32120202210020000111
4323222332111231
54022241334013
6243201300021
733544250335
oct7352762555
92522706014
101001121133
1147411a141
1223b334611
1312c54058c
1496d600c5
155cd5373d
hex3babe56d

1001121133 has 2 divisors, whose sum is σ = 1001121134. Its totient is φ = 1001121132.

The previous prime is 1001121131. The next prime is 1001121179. The reversal of 1001121133 is 3311211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 688432644 + 312688489 = 26238^2 + 17683^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001121133 - 21 = 1001121131 is a prime.

It is a super-4 number, since 4×10011211334 (a number of 37 digits) contains 4444 as substring.

Together with 1001121131, 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 (1001121131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500560566 + 500560567.

It is an arithmetic number, because the mean of its divisors is an integer number (500560567).

Almost surely, 21001121133 is an apocalyptic number.

It is an amenable number.

1001121133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001121133 is an equidigital number, since it uses as much as digits as its factorization.

1001121133 is an evil number, because the sum of its binary digits is even.

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

The square root of 1001121133 is about 31640.4983051784. The cubic root of 1001121133 is about 1000.3735714270.

Adding to 1001121133 its reverse (3311211001), we get a palindrome (4312332134).

The spelling of 1001121133 in words is "one billion, one million, one hundred twenty-one thousand, one hundred thirty-three".