1101113120 has 72 divisors (see below), whose sum is σ = 2763519444. Its totient is φ = 414519296.

The previous prime is 1101113119. The next prime is 1101113141. The reversal of 1101113120 is 213111011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 796819984 + 304293136 = 28228^2 + 17444^2 .

It is a super-2 number, since 2×1101113120² = 2424900206072268800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34334 + ... + 58146.

Almost surely, 2^1101113120 is an apocalyptic number.

1101113120 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 1101113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381759722).

1101113120 is an abundant number, since it is smaller than the sum of its proper divisors (1662406324).

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

1101113120 is a wasteful number, since it uses less digits than its factorization.

1101113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23862 (or 23837 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 1101113120 is about 33183.0245758279. The cubic root of 1101113120 is about 1032.6281955395.

Adding to 1101113120 its reverse (213111011), we get a palindrome (1314224131).

The spelling of 1101113120 in words is "one billion, one hundred one million, one hundred thirteen thousand, one hundred twenty".