13123443300513 has 32 divisors (see below), whose sum is σ = 21557638889472. Its totient is φ = 6915270542400.

The previous prime is 13123443300509. The next prime is 13123443300533. The reversal of 13123443300513 is 31500334432131.

It is a happy number.

13123443300513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13123443300513 - 2² = 13123443300509 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13123443300533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23983353 + ... + 24524438.

It is an arithmetic number, because the mean of its divisors is an integer number (673676215296).

Almost surely, 2^{13123443300513} is an apocalyptic number.

13123443300513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13123443300513 is a deficient number, since it is larger than the sum of its proper divisors (8434195588959).

13123443300513 is a wasteful number, since it uses less digits than its factorization.

13123443300513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48508805.

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 13123443300513 its reverse (31500334432131), we get a palindrome (44623777732644).

The spelling of 13123443300513 in words is "thirteen trillion, one hundred twenty-three billion, four hundred forty-three million, three hundred thousand, five hundred thirteen".