13123313505 has 12 divisors (see below), whose sum is σ = 22747076820. Its totient is φ = 6999100512.

The previous prime is 13123313443. The next prime is 13123313531. The reversal of 13123313505 is 50531332131.

13123313505 is a `hidden beast` number, since 1 + 3 + 123 + 31 + 3 + 505 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7701642081 + 5421671424 = 87759^2 + 73632^2 .

It is not a de Polignac number, because 13123313505 - 2¹⁷ = 13123182433 is a prime.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 145814550 + ... + 145814639.

It is an arithmetic number, because the mean of its divisors is an integer number (1895589735).

Almost surely, 2^13123313505 is an apocalyptic number.

13123313505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13123313505 is a deficient number, since it is larger than the sum of its proper divisors (9623763315).

13123313505 is a wasteful number, since it uses less digits than its factorization.

13123313505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291629200 (or 291629197 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 13123313505 its reverse (50531332131), we get a palindrome (63654645636).

The spelling of 13123313505 in words is "thirteen billion, one hundred twenty-three million, three hundred thirteen thousand, five hundred five".