1006101133 has 2 divisors, whose sum is σ = 1006101134. Its totient is φ = 1006101132.

The previous prime is 1006101101. The next prime is 1006101139. The reversal of 1006101133 is 3311016001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 998686404 + 7414729 = 31602^2 + 2723^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006101133 - 2⁵ = 1006101101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006101139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503050566 + 503050567.

It is an arithmetic number, because the mean of its divisors is an integer number (503050567).

Almost surely, 2^1006101133 is an apocalyptic number.

It is an amenable number.

1006101133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006101133 is an equidigital number, since it uses as much as digits as its factorization.

1006101133 is an evil number, because the sum of its binary digits is even.

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

The square root of 1006101133 is about 31719.0972916948. The cubic root of 1006101133 is about 1002.0295889818.

Adding to 1006101133 its reverse (3311016001), we get a palindrome (4317117134).

The spelling of 1006101133 in words is "one billion, six million, one hundred one thousand, one hundred thirty-three".