13211214421020 has 384 divisors, whose sum is σ = 48844553748480. Its totient is φ = 2583043706880.

The previous prime is 13211214421001. The next prime is 13211214421021. The reversal of 13211214421020 is 2012441211231.

13211214421020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211214421021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 340765677 + ... + 340804443.

It is an arithmetic number, because the mean of its divisors is an integer number (127199358720).

Almost surely, 2^{13211214421020} is an apocalyptic number.

13211214421020 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 13211214421020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24422276874240).

13211214421020 is an abundant number, since it is smaller than the sum of its proper divisors (35633339327460).

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

13211214421020 is a wasteful number, since it uses less digits than its factorization.

13211214421020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43153 (or 43151 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 13211214421020 its reverse (2012441211231), we get a palindrome (15223655632251).

The spelling of 13211214421020 in words is "thirteen trillion, two hundred eleven billion, two hundred fourteen million, four hundred twenty-one thousand, twenty".