1005302211233 has 8 divisors (see below), whose sum is σ = 1007969660928. Its totient is φ = 1002634984384.

The previous prime is 1005302211227. The next prime is 1005302211269. The reversal of 1005302211233 is 3321122035001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005302211233 - 2⁴ = 1005302211217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005302211199 and 1005302211208.

It is not an unprimeable number, because it can be changed into a prime (1005302211733) 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 in 7 ways as a sum of consecutive naturals, for example, 13032185 + ... + 13109097.

It is an arithmetic number, because the mean of its divisors is an integer number (125996207616).

Almost surely, 2^{1005302211233} is an apocalyptic number.

It is an amenable number.

1005302211233 is a deficient number, since it is larger than the sum of its proper divisors (2667449695).

1005302211233 is an equidigital number, since it uses as much as digits as its factorization.

1005302211233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111423.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 1005302211233 its reverse (3321122035001), we get a palindrome (4326424246234).

The spelling of 1005302211233 in words is "one trillion, five billion, three hundred two million, two hundred eleven thousand, two hundred thirty-three".