13220201320032 has 192 divisors, whose sum is σ = 40356513598464. Its totient is φ = 3711286548480.

The previous prime is 13220201320021. The next prime is 13220201320093. The reversal of 13220201320032 is 23002310202231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13220201319990 and 13220201320008.

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 31 ways as a sum of consecutive naturals, for example, 13506778 + ... + 14452454.

It is an arithmetic number, because the mean of its divisors is an integer number (210190174992).

Almost surely, 2^{13220201320032} is an apocalyptic number.

13220201320032 is a gapful number since it is divisible by the number (12) 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 13220201320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20178256799232).

13220201320032 is an abundant number, since it is smaller than the sum of its proper divisors (27136312278432).

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

13220201320032 is a wasteful number, since it uses less digits than its factorization.

13220201320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946061 (or 946053 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13220201320032 its reverse (23002310202231), we get a palindrome (36222511522263).

The spelling of 13220201320032 in words is "thirteen trillion, two hundred twenty billion, two hundred one million, three hundred twenty thousand, thirty-two".