1100133920 has 48 divisors (see below), whose sum is σ = 2751959448. Its totient is φ = 414167040.

The previous prime is 1100133919. The next prime is 1100133943. The reversal of 1100133920 is 293310011.

It can be written as a sum of positive squares in 4 ways, for example, as 841696144 + 258437776 = 29012^2 + 16076^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1100133892 and 1100133901.

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 7 ways as a sum of consecutive naturals, for example, 199511 + ... + 204950.

Almost surely, 2^1100133920 is an apocalyptic number.

1100133920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100133920 is an abundant number, since it is smaller than the sum of its proper divisors (1651825528).

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

1100133920 is a wasteful number, since it uses less digits than its factorization.

1100133920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404493 (or 404485 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 1100133920 is about 33168.2667620724. The cubic root of 1100133920 is about 1032.3220055604.

Adding to 1100133920 its reverse (293310011), we get a palindrome (1393443931).

The spelling of 1100133920 in words is "one billion, one hundred million, one hundred thirty-three thousand, nine hundred twenty".