1113133120 has 168 divisors, whose sum is σ = 3014740224. Its totient is φ = 387840000.

The previous prime is 1113133111. The next prime is 1113133163. The reversal of 1113133120 is 213313111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1113133094 and 1113133103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11021070 + ... + 11021170.

Almost surely, 2^1113133120 is an apocalyptic number.

1113133120 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 1113133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507370112).

1113133120 is an abundant number, since it is smaller than the sum of its proper divisors (1901607104).

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

1113133120 is a wasteful number, since it uses less digits than its factorization.

1113133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1113133120 is about 33363.6496804531. The cubic root of 1113133120 is about 1036.3720730914.

Adding to 1113133120 its reverse (213313111), we get a palindrome (1326446231).

Subtracting from 1113133120 its reverse (213313111), we obtain a square (899820009 = 29997²).

It can be divided in two parts, 11 and 13133120, that added together give a palindrome (13133131).

The spelling of 1113133120 in words is "one billion, one hundred thirteen million, one hundred thirty-three thousand, one hundred twenty".