1023344133105 has 24 divisors (see below), whose sum is σ = 1904673163392. Its totient is φ = 467814460512.

The previous prime is 1023344133061. The next prime is 1023344133107. The reversal of 1023344133105 is 5013314433201.

It is a happy number.

It is not a de Polignac number, because 1023344133105 - 2⁷ = 1023344132977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1023344133107) 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 23 ways as a sum of consecutive naturals, for example, 696151737 + ... + 696153206.

It is an arithmetic number, because the mean of its divisors is an integer number (79361381808).

Almost surely, 2^{1023344133105} is an apocalyptic number.

1023344133105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1023344133105 is a deficient number, since it is larger than the sum of its proper divisors (881329030287).

1023344133105 is a wasteful number, since it uses less digits than its factorization.

1023344133105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392304965 (or 1392304958 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 1023344133105 its reverse (5013314433201), we get a palindrome (6036658566306).

The spelling of 1023344133105 in words is "one trillion, twenty-three billion, three hundred forty-four million, one hundred thirty-three thousand, one hundred five".