13102004144224 has 24 divisors (see below), whose sum is σ = 26217432476928. Its totient is φ = 6443608594560.

The previous prime is 13102004144221. The next prime is 13102004144233. The reversal of 13102004144224 is 42244140020131.

It is a junction number, because it is equal to n+sod(n) for n = 13102004144192 and 13102004144201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102004144221) 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 3 ways as a sum of consecutive naturals, for example, 3356044192 + ... + 3356048095.

It is an arithmetic number, because the mean of its divisors is an integer number (1092393019872).

Almost surely, 2^{13102004144224} is an apocalyptic number.

It is an amenable number.

13102004144224 is an abundant number, since it is smaller than the sum of its proper divisors (13115428332704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13102004144224 is an equidigital number, since it uses as much as digits as its factorization.

13102004144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712092358 (or 6712092350 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 13102004144224 its reverse (42244140020131), we get a palindrome (55346144164355).

The spelling of 13102004144224 in words is "thirteen trillion, one hundred two billion, four million, one hundred forty-four thousand, two hundred twenty-four".