1101132144 has 120 divisors (see below), whose sum is σ = 3652405120. Its totient is φ = 314601408.

The previous prime is 1101132127. The next prime is 1101132191. The reversal of 1101132144 is 4412311011.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6987 + ... + 47445.

Almost surely, 2^1101132144 is an apocalyptic number.

1101132144 is a gapful number since it is divisible by the number (14) 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 1101132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826202560).

1101132144 is an abundant number, since it is smaller than the sum of its proper divisors (2551272976).

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

1101132144 is an equidigital number, since it uses as much as digits as its factorization.

1101132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40489 (or 40471 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1101132144 is about 33183.3112271817. The cubic root of 1101132144 is about 1032.6341424325.

Adding to 1101132144 its reverse (4412311011), we get a palindrome (5513443155).

The spelling of 1101132144 in words is "one billion, one hundred one million, one hundred thirty-two thousand, one hundred forty-four".