1033313231223 has 144 divisors (see below), whose sum is σ = 1924427625120. Its totient is φ = 529269769728.

The previous prime is 1033313231213. The next prime is 1033313231227. The reversal of 1033313231223 is 3221323133301.

1033313231223 is a `hidden beast` number, since 1 + 0 + 3 + 331 + 323 + 1 + 2 + 2 + 3 = 666.

It is not a de Polignac number, because 1033313231223 - 2²⁰ = 1033312182647 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033313231227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42635673 + ... + 42659901.

It is an arithmetic number, because the mean of its divisors is an integer number (13364080730).

Almost surely, 2^{1033313231223} is an apocalyptic number.

1033313231223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1033313231223 is a deficient number, since it is larger than the sum of its proper divisors (891114393897).

1033313231223 is a wasteful number, since it uses less digits than its factorization.

1033313231223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24478 (or 24468 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1033313231223 its reverse (3221323133301), we get a palindrome (4254636364524).

The spelling of 1033313231223 in words is "one trillion, thirty-three billion, three hundred thirteen million, two hundred thirty-one thousand, two hundred twenty-three".