1101133020 has 216 divisors, whose sum is σ = 3480282288. Its totient is φ = 259983360.

The previous prime is 1101133003. The next prime is 1101133031. The reversal of 1101133020 is 203311011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1101132987 and 1101133005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9744484 + ... + 9744596.

It is an arithmetic number, because the mean of its divisors is an integer number (16112418).

Almost surely, 2^1101133020 is an apocalyptic number.

1101133020 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 1101133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740141144).

1101133020 is an abundant number, since it is smaller than the sum of its proper divisors (2379149268).

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

1101133020 is a wasteful number, since it uses less digits than its factorization.

1101133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1101133020 is about 33183.3244265851. The cubic root of 1101133020 is about 1032.6344162680.

Adding to 1101133020 its reverse (203311011), we get a palindrome (1304444031).

The spelling of 1101133020 in words is "one billion, one hundred one million, one hundred thirty-three thousand, twenty".