13101332220 has 432 divisors, whose sum is σ = 44501970240. Its totient is φ = 3111229440.

The previous prime is 13101332213. The next prime is 13101332221. The reversal of 13101332220 is 2223310131.

13101332220 is a `hidden beast` number, since 1 + 310 + 1 + 332 + 2 + 20 = 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 = 13101332193 and 13101332202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101332221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 147205936 + ... + 147206024.

It is an arithmetic number, because the mean of its divisors is an integer number (103013820).

Almost surely, 2^13101332220 is an apocalyptic number.

13101332220 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 13101332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22250985120).

13101332220 is an abundant number, since it is smaller than the sum of its proper divisors (31400638020).

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

13101332220 is a wasteful number, since it uses less digits than its factorization.

13101332220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 190 counting only the distinct ones).

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

Adding to 13101332220 its reverse (2223310131), we get a palindrome (15324642351).

The spelling of 13101332220 in words is "thirteen billion, one hundred one million, three hundred thirty-two thousand, two hundred twenty".