2133322003033 has 16 divisors (see below), whose sum is σ = 2347185440656. Its totient is φ = 1926901923840.

The previous prime is 2133322003031. The next prime is 2133322003049. The reversal of 2133322003033 is 3303002233312.

It can be written as a sum of positive squares in 8 ways, for example, as 488484972889 + 1644837030144 = 698917^2 + 1282512^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133322003033 - 2¹ = 2133322003031 is a prime.

It is a super-2 number, since 2×2133322003033² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2133322002989 and 2133322003007.

It is not an unprimeable number, because it can be changed into a prime (2133322003031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6816360 + ... + 7122457.

It is an arithmetic number, because the mean of its divisors is an integer number (146699090041).

Almost surely, 2^{2133322003033} is an apocalyptic number.

It is an amenable number.

2133322003033 is a deficient number, since it is larger than the sum of its proper divisors (213863437623).

2133322003033 is a wasteful number, since it uses less digits than its factorization.

2133322003033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13939084.

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 2133322003033 its reverse (3303002233312), we get a palindrome (5436324236345).

The spelling of 2133322003033 in words is "two trillion, one hundred thirty-three billion, three hundred twenty-two million, three thousand, thirty-three".