13000222661184 has 336 divisors, whose sum is σ = 42527165257920. Its totient is φ = 3939456280320.

The previous prime is 13000222661147. The next prime is 13000222661227. The reversal of 13000222661184 is 48116622200031.

It is a happy number.

13000222661184 is a `hidden beast` number, since 1 + 30 + 0 + 0 + 2 + 2 + 2 + 6 + 611 + 8 + 4 = 666.

13000222661184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16552327 + ... + 17319929.

It is an arithmetic number, because the mean of its divisors is an integer number (126568944220).

Almost surely, 2^{13000222661184} 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 13000222661184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21263582628960).

13000222661184 is an abundant number, since it is smaller than the sum of its proper divisors (29526942596736).

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

13000222661184 is an frugal number, since it uses more digits than its factorization.

13000222661184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767658 (or 767619 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13000222661184 in words is "thirteen trillion, two hundred twenty-two million, six hundred sixty-one thousand, one hundred eighty-four".