13123303503345 has 96 divisors (see below), whose sum is σ = 26190308062464. Its totient is φ = 5954658624000.

The previous prime is 13123303503341. The next prime is 13123303503367. The reversal of 13123303503345 is 54330530332131.

13123303503345 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 303 + 5 + 0 + 3 + 345 = 666.

It is not a de Polignac number, because 13123303503345 - 2² = 13123303503341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13123303503341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29598795 + ... + 30038895.

It is an arithmetic number, because the mean of its divisors is an integer number (272815708984).

Almost surely, 2^{13123303503345} is an apocalyptic number.

13123303503345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13123303503345 is a deficient number, since it is larger than the sum of its proper divisors (13067004559119).

13123303503345 is a wasteful number, since it uses less digits than its factorization.

13123303503345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440823 (or 440820 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 36.

Adding to 13123303503345 its reverse (54330530332131), we get a palindrome (67453833835476).

The spelling of 13123303503345 in words is "thirteen trillion, one hundred twenty-three billion, three hundred three million, five hundred three thousand, three hundred forty-five".