1033131133 has 2 divisors, whose sum is σ = 1033131134. Its totient is φ = 1033131132.

The previous prime is 1033131083. The next prime is 1033131149. The reversal of 1033131133 is 3311313301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 929152324 + 103978809 = 30482^2 + 10197^2 .

It is an emirp because it is prime and its reverse (3311313301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1033131133 - 2¹⁷ = 1033000061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1033131133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1033131163) 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, 516565566 + 516565567.

It is an arithmetic number, because the mean of its divisors is an integer number (516565567).

Almost surely, 2^1033131133 is an apocalyptic number.

It is an amenable number.

1033131133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033131133 is an equidigital number, since it uses as much as digits as its factorization.

1033131133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

The square root of 1033131133 is about 32142.3573030977. The cubic root of 1033131133 is about 1010.9239439218.

Adding to 1033131133 its reverse (3311313301), we get a palindrome (4344444434).

The spelling of 1033131133 in words is "one billion, thirty-three million, one hundred thirty-one thousand, one hundred thirty-three".