13123345223313 has 48 divisors (see below), whose sum is σ = 20497998743040. Its totient is φ = 8042749448832.

The previous prime is 13123345223213. The next prime is 13123345223341. The reversal of 13123345223313 is 31332254332131.

13123345223313 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 334 + 5 + 2 + 2 + 3 + 313 = 666.

13123345223313 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 13123345223313 - 2³² = 13119050256017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13123345223213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49472328 + ... + 49736886.

It is an arithmetic number, because the mean of its divisors is an integer number (427041640480).

Almost surely, 2^{13123345223313} is an apocalyptic number.

13123345223313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13123345223313 is a deficient number, since it is larger than the sum of its proper divisors (7374653519727).

13123345223313 is a wasteful number, since it uses less digits than its factorization.

13123345223313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266318 (or 266315 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

Adding to 13123345223313 its reverse (31332254332131), we get a palindrome (44455599555444).

The spelling of 13123345223313 in words is "thirteen trillion, one hundred twenty-three billion, three hundred forty-five million, two hundred twenty-three thousand, three hundred thirteen".