13331012220 has 144 divisors (see below), whose sum is σ = 41789940192. Its totient is φ = 3437683200.

The previous prime is 13331012207. The next prime is 13331012231. The reversal of 13331012220 is 2221013331.

13331012220 is a `hidden beast` number, since 133 + 310 + 1 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13331012193 and 13331012202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 773214 + ... + 790266.

It is an arithmetic number, because the mean of its divisors is an integer number (290207918).

Almost surely, 2^13331012220 is an apocalyptic number.

13331012220 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 13331012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20894970096).

13331012220 is an abundant number, since it is smaller than the sum of its proper divisors (28458927972).

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

13331012220 is a wasteful number, since it uses less digits than its factorization.

13331012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17212 (or 17207 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13331012220 its reverse (2221013331), we get a palindrome (15552025551).

It can be divided in two parts, 133310 and 12220, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 13331012220 in words is "thirteen billion, three hundred thirty-one million, twelve thousand, two hundred twenty".