13001223122144 has 96 divisors (see below), whose sum is σ = 26906009760000. Its totient is φ = 6172135732224.

The previous prime is 13001223122131. The next prime is 13001223122183. The reversal of 13001223122144 is 44122132210031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 996332132 + ... + 996345180.

It is an arithmetic number, because the mean of its divisors is an integer number (280270935000).

Almost surely, 2^{13001223122144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13001223122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13453004880000).

13001223122144 is an abundant number, since it is smaller than the sum of its proper divisors (13904786637856).

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

13001223122144 is a wasteful number, since it uses less digits than its factorization.

13001223122144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22960 (or 22952 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 13001223122144 its reverse (44122132210031), we get a palindrome (57123355332175).

The spelling of 13001223122144 in words is "thirteen trillion, one billion, two hundred twenty-three million, one hundred twenty-two thousand, one hundred forty-four".