13213329444120 has 128 divisors (see below), whose sum is σ = 42718484793600. Its totient is φ = 3250282028544.

The previous prime is 13213329444079. The next prime is 13213329444127. The reversal of 13213329444120 is 2144492331231.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213329444127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626662 + ... + 5178741.

It is an arithmetic number, because the mean of its divisors is an integer number (333738162450).

Almost surely, 2^{13213329444120} is an apocalyptic number.

13213329444120 is a gapful number since it is divisible by the number (10) 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 13213329444120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21359242396800).

13213329444120 is an abundant number, since it is smaller than the sum of its proper divisors (29505155349480).

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

13213329444120 is a wasteful number, since it uses less digits than its factorization.

13213329444120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806889 (or 5806885 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 13213329444120 in words is "thirteen trillion, two hundred thirteen billion, three hundred twenty-nine million, four hundred forty-four thousand, one hundred twenty".