13219100299872 has 144 divisors (see below), whose sum is σ = 38002314534912. Its totient is φ = 4358459508480.

The previous prime is 13219100299871. The next prime is 13219100299943. The reversal of 13219100299872 is 27899200191231.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13219100299872² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13219100299871) 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 23 ways as a sum of consecutive naturals, for example, 11560713 + ... + 12652599.

It is an arithmetic number, because the mean of its divisors is an integer number (263904962048).

Almost surely, 2^{13219100299872} is an apocalyptic number.

13219100299872 is a gapful number since it is divisible by the number (12) 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 13219100299872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19001157267456).

13219100299872 is an abundant number, since it is smaller than the sum of its proper divisors (24783214235040).

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

13219100299872 is a wasteful number, since it uses less digits than its factorization.

13219100299872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092361 (or 1092350 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 13219100299872 in words is "thirteen trillion, two hundred nineteen billion, one hundred million, two hundred ninety-nine thousand, eight hundred seventy-two".