1005142133 has 2 divisors, whose sum is σ = 1005142134. Its totient is φ = 1005142132.

The previous prime is 1005142097. The next prime is 1005142139. The reversal of 1005142133 is 3312415001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 584769124 + 420373009 = 24182^2 + 20503^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005142133 - 2¹⁴ = 1005125749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005142139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502571066 + 502571067.

It is an arithmetic number, because the mean of its divisors is an integer number (502571067).

Almost surely, 2^1005142133 is an apocalyptic number.

It is an amenable number.

1005142133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005142133 is an equidigital number, since it uses as much as digits as its factorization.

1005142133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1005142133 is about 31703.9766117754. The cubic root of 1005142133 is about 1001.7111147496.

Adding to 1005142133 its reverse (3312415001), we get a palindrome (4317557134).

The spelling of 1005142133 in words is "one billion, five million, one hundred forty-two thousand, one hundred thirty-three".