13310221111000 has 256 divisors, whose sum is σ = 36031456955520. Its totient is φ = 4548352000000.

The previous prime is 13310221110961. The next prime is 13310221111133. The reversal of 13310221111000 is 11112201331.

It is a happy number.

It is a super-4 number, since 4×13310221111000⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122056500 + ... + 122165500.

Almost surely, 2^{13310221111000} is an apocalyptic number.

13310221111000 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 13310221111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18015728477760).

13310221111000 is an abundant number, since it is smaller than the sum of its proper divisors (22721235844520).

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

13310221111000 is a wasteful number, since it uses less digits than its factorization.

13310221111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109703 (or 109689 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13310221111000 its reverse (11112201331), we get a palindrome (13321333312331).

The spelling of 13310221111000 in words is "thirteen trillion, three hundred ten billion, two hundred twenty-one million, one hundred eleven thousand".