13213413400220 has 96 divisors (see below), whose sum is σ = 30456119232000. Its totient is φ = 4775469589760.

The previous prime is 13213413400207. The next prime is 13213413400223. The reversal of 13213413400220 is 2200431431231.

It is a super-2 number, since 2×13213413400220² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13213413400220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213413400223) 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, 114084059 + ... + 114199821.

It is an arithmetic number, because the mean of its divisors is an integer number (317251242000).

Almost surely, 2^{13213413400220} is an apocalyptic number.

13213413400220 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 13213413400220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15228059616000).

13213413400220 is an abundant number, since it is smaller than the sum of its proper divisors (17242705831780).

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

13213413400220 is a wasteful number, since it uses less digits than its factorization.

13213413400220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118955 (or 118953 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 13213413400220 its reverse (2200431431231), we get a palindrome (15413844831451).

The spelling of 13213413400220 in words is "thirteen trillion, two hundred thirteen billion, four hundred thirteen million, four hundred thousand, two hundred twenty".