13221133233000 has 512 divisors, whose sum is σ = 51695134433280. Its totient is φ = 2733004800000.

The previous prime is 13221133232977. The next prime is 13221133233019. The reversal of 13221133233000 is 33233112231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 44434725 + ... + 44731275.

It is an arithmetic number, because the mean of its divisors is an integer number (100967059440).

Almost surely, 2^{13221133233000} is an apocalyptic number.

13221133233000 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 13221133233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25847567216640).

13221133233000 is an abundant number, since it is smaller than the sum of its proper divisors (38474001200280).

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

13221133233000 is a wasteful number, since it uses less digits than its factorization.

13221133233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296786 (or 296772 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13221133233000 its reverse (33233112231), we get a palindrome (13254366345231).

The spelling of 13221133233000 in words is "thirteen trillion, two hundred twenty-one billion, one hundred thirty-three million, two hundred thirty-three thousand".