1102133120 has 128 divisors (see below), whose sum is σ = 3043720800. Its totient is φ = 377159680.

The previous prime is 1102133101. The next prime is 1102133141. The reversal of 1102133120 is 213312011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1102133095 and 1102133104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115076 + ... + 124284.

Almost surely, 2^1102133120 is an apocalyptic number.

1102133120 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 1102133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521860400).

1102133120 is an abundant number, since it is smaller than the sum of its proper divisors (1941587680).

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

1102133120 is a wasteful number, since it uses less digits than its factorization.

1102133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9256 (or 9244 counting only the distinct ones).

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

The square root of 1102133120 is about 33198.3903224238. The cubic root of 1102133120 is about 1032.9469504664.

Adding to 1102133120 its reverse (213312011), we get a palindrome (1315445131).

The spelling of 1102133120 in words is "one billion, one hundred two million, one hundred thirty-three thousand, one hundred twenty".