1033022120013 has 32 divisors (see below), whose sum is σ = 1664127745280. Its totient is φ = 629533995840.

The previous prime is 1033022119981. The next prime is 1033022120027. The reversal of 1033022120013 is 3100212203301.

It is not a de Polignac number, because 1033022120013 - 2⁵ = 1033022119981 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033022120813) 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 31 ways as a sum of consecutive naturals, for example, 14250658 + ... + 14322963.

It is an arithmetic number, because the mean of its divisors is an integer number (52003992040).

Almost surely, 2^{1033022120013} is an apocalyptic number.

1033022120013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1033022120013 is a deficient number, since it is larger than the sum of its proper divisors (631105625267).

1033022120013 is a wasteful number, since it uses less digits than its factorization.

1033022120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28573746 (or 28573740 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1033022120013 its reverse (3100212203301), we get a palindrome (4133234323314).

The spelling of 1033022120013 in words is "one trillion, thirty-three billion, twenty-two million, one hundred twenty thousand, thirteen".