13221101114140 has 96 divisors (see below), whose sum is σ = 29416195872000. Its totient is φ = 4977450196992.

The previous prime is 13221101114119. The next prime is 13221101114149. The reversal of 13221101114140 is 4141110112231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221101114149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166516971 + ... + 166596349.

It is an arithmetic number, because the mean of its divisors is an integer number (306418707000).

Almost surely, 2^{13221101114140} is an apocalyptic number.

13221101114140 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 13221101114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14708097936000).

13221101114140 is an abundant number, since it is smaller than the sum of its proper divisors (16195094757860).

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

13221101114140 is a wasteful number, since it uses less digits than its factorization.

13221101114140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82259 (or 82257 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 13221101114140 its reverse (4141110112231), we get a palindrome (17362211226371).

The spelling of 13221101114140 in words is "thirteen trillion, two hundred twenty-one billion, one hundred one million, one hundred fourteen thousand, one hundred forty".