13220101216 has 72 divisors (see below), whose sum is σ = 30847839120. Its totient is φ = 5558821632.

The previous prime is 13220101171. The next prime is 13220101217. The reversal of 13220101216 is 61210102231.

It is a super-2 number, since 2×13220101216² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13220101193 and 13220101202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220101217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3565 + ... + 162643.

It is an arithmetic number, because the mean of its divisors is an integer number (428442210).

Almost surely, 2^13220101216 is an apocalyptic number.

13220101216 is a gapful number since it is divisible by the number (16) 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 13220101216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15423919560).

13220101216 is an abundant number, since it is smaller than the sum of its proper divisors (17627737904).

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

13220101216 is a wasteful number, since it uses less digits than its factorization.

13220101216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159156 (or 159141 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 13220101216 its reverse (61210102231), we get a palindrome (74430203447).

The spelling of 13220101216 in words is "thirteen billion, two hundred twenty million, one hundred one thousand, two hundred sixteen".