1101313220 has 72 divisors (see below), whose sum is σ = 2700728856. Its totient is φ = 376137216.

The previous prime is 1101313189. The next prime is 1101313231. The reversal of 1101313220 is 223131011.

It can be written as a sum of positive squares in 4 ways, for example, as 24423364 + 1076889856 = 4942^2 + 32816^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1101313195 and 1101313204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269432 + ... + 273488.

It is an arithmetic number, because the mean of its divisors is an integer number (37510123).

Almost surely, 2^1101313220 is an apocalyptic number.

1101313220 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 1101313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350364428).

1101313220 is an abundant number, since it is smaller than the sum of its proper divisors (1599415636).

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

1101313220 is a wasteful number, since it uses less digits than its factorization.

1101313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4357 (or 4348 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1101313220 is about 33186.0395347200. The cubic root of 1101313220 is about 1032.6907432720.

Adding to 1101313220 its reverse (223131011), we get a palindrome (1324444231).

The spelling of 1101313220 in words is "one billion, one hundred one million, three hundred thirteen thousand, two hundred twenty".