13131222223224 has 128 divisors (see below), whose sum is σ = 37626747125760. Its totient is φ = 3740893123968.

The previous prime is 13131222223187. The next prime is 13131222223253. The reversal of 13131222223224 is 42232222213131.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13131222223191 and 13131222223200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104048049 + ... + 104174175.

It is an arithmetic number, because the mean of its divisors is an integer number (293958961920).

Almost surely, 2^{13131222223224} is an apocalyptic number.

13131222223224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131222223224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18813373562880).

13131222223224 is an abundant number, since it is smaller than the sum of its proper divisors (24495524902536).

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

13131222223224 is a wasteful number, since it uses less digits than its factorization.

13131222223224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127937 (or 127933 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 13131222223224 its reverse (42232222213131), we get a palindrome (55363444436355).

The spelling of 13131222223224 in words is "thirteen trillion, one hundred thirty-one billion, two hundred twenty-two million, two hundred twenty-three thousand, two hundred twenty-four".