13223312322000 has 640 divisors, whose sum is σ = 48069883330560. Its totient is φ = 3098234880000.

The previous prime is 13223312321977. The next prime is 13223312322061. The reversal of 13223312322000 is 22321332231.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1765694256 + ... + 1765701744.

It is an arithmetic number, because the mean of its divisors is an integer number (75109192704).

Almost surely, 2^{13223312322000} is an apocalyptic number.

13223312322000 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 13223312322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24034941665280).

13223312322000 is an abundant number, since it is smaller than the sum of its proper divisors (34846571008560).

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

13223312322000 is a wasteful number, since it uses less digits than its factorization.

13223312322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8420 (or 8404 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13223312322000 its reverse (22321332231), we get a palindrome (13245633654231).

The spelling of 13223312322000 in words is "thirteen trillion, two hundred twenty-three billion, three hundred twelve million, three hundred twenty-two thousand".