20032013232220 has 96 divisors (see below), whose sum is σ = 46062314323200. Its totient is φ = 7257300019200.

The previous prime is 20032013232193. The next prime is 20032013232239. The reversal of 20032013232220 is 2223231023002.

It is a super-2 number, since 2×20032013232220² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20032013232191 and 20032013232200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77330715 + ... + 77589325.

It is an arithmetic number, because the mean of its divisors is an integer number (479815774200).

Almost surely, 2^{20032013232220} is an apocalyptic number.

20032013232220 is a gapful number since it is divisible by the number (20) 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 20032013232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23031157161600).

20032013232220 is an abundant number, since it is smaller than the sum of its proper divisors (26030301090980).

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

20032013232220 is a wasteful number, since it uses less digits than its factorization.

20032013232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259939 (or 259937 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 20032013232220 its reverse (2223231023002), we get a palindrome (22255244255222).

The spelling of 20032013232220 in words is "twenty trillion, thirty-two billion, thirteen million, two hundred thirty-two thousand, two hundred twenty".