13300123310319 has 16 divisors (see below), whose sum is σ = 17758599022080. Its totient is φ = 8854202223360.

The previous prime is 13300123310281. The next prime is 13300123310347. The reversal of 13300123310319 is 91301332100331.

It is not a de Polignac number, because 13300123310319 - 2⁷ = 13300123310191 is a prime.

It is a super-2 number, since 2×13300123310319² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300123310819) 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 15 ways as a sum of consecutive naturals, for example, 12932479 + ... + 13922975.

It is an arithmetic number, because the mean of its divisors is an integer number (1109912438880).

Almost surely, 2^{13300123310319} is an apocalyptic number.

13300123310319 is a deficient number, since it is larger than the sum of its proper divisors (4458475711761).

13300123310319 is an equidigital number, since it uses as much as digits as its factorization.

13300123310319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996830.

The product of its (nonzero) digits is 4374, while the sum is 30.

The spelling of 13300123310319 in words is "thirteen trillion, three hundred billion, one hundred twenty-three million, three hundred ten thousand, three hundred nineteen".