13002033220 has 96 divisors (see below), whose sum is σ = 30153223296. Its totient is φ = 4709048960.

The previous prime is 13002033169. The next prime is 13002033251. The reversal of 13002033220 is 2233020031.

It is a junction number, because it is equal to n+sod(n) for n = 13002033194 and 13002033203.

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, 7798827 + ... + 7800493.

It is an arithmetic number, because the mean of its divisors is an integer number (314096076).

Almost surely, 2^13002033220 is an apocalyptic number.

13002033220 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 13002033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15076611648).

13002033220 is an abundant number, since it is smaller than the sum of its proper divisors (17151190076).

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

13002033220 is a wasteful number, since it uses less digits than its factorization.

13002033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 13002033220 its reverse (2233020031), we get a palindrome (15235053251).

The spelling of 13002033220 in words is "thirteen billion, two million, thirty-three thousand, two hundred twenty".